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In this paper, we consider Hankel operators on domains with bounded intrinsic geometry. For these domains we characterize the L 2 -symbols where the associated Hankel operator is compact (respectively bounded) on the space of square integrable holomorphic functions. [ABSTRACT FROM AUTHOR]

One of the great ability of humans is to use mathematical formulas to replicate what they see in their daily activities, they start with simple models, when these models are unable to achieve their goals and they modify or replace them with more complex mathematical formulas. Chaos has been modelled using classical differential operators, classical with fractional orders. On the other hand, many mathematical mapping have been used to simulate some fractals behaviours. In this paper, in order to capture more fractal and chaos behaviours, we introduce the notion of chaos stochastic models and fractal stochastic mapping. We additionally present the conditions of existence and uniqueness of chaos‐stochastic models. Some numerical simulations are presented to help see the effect of stochastic functions. [ABSTRACT FROM AUTHOR]

In this paper, we present some generalized multi-valued contraction results on cone metric spaces. We use some maximum and sum types of contractions for a pair of multi-valued mappings to prove some common fixed point theorems on cone metric spaces without the condition of normality. We present an illustrative example for multi-valued contraction mappings to support our work. Moreover, we present a supportive application of nonlinear integral equations to validate our work. This new theory, can be modified in different directions for multi-valued mappings to prove fixed point, common fixed point and coincidence point results in the context of different types of metric spaces with the application of different types of integral equations. [ABSTRACT FROM AUTHOR]

This paper presents a systematic investigation of an extension of the developments concerning the q-contractions, which were proposed in 2014 by Jleli and Samet. This paper generalizes the notion of the q-contractions to the case of non-linear qL-contraction mappings, and prove multi-valued fixed point results in b-metric-like spaces. The paper also includes a tangible example, which displays the motivation for such investigations as those presented here. This paper is completed by giving an application of the proposed non-linear qL-contractions to the Liouville-Caputo fractional derivatives and fractional differential equations. [ABSTRACT FROM AUTHOR]

This paper is focused on the automated and unattended optimization of a type of planar wideband bandpass filters by means of aggressive space mapping (ASM). The considered filters are microstrip filters implemented through a combination of shunt connected stepped impedance resonators (SIRs) and grounded stubs coupled through admittance inverters. The most relevant and novel aspect of this paper is the fact that the filter layout is automatically generated from filter specifications, i.e., central frequency, fractional bandwidth, in-band ripple and order, without the need of any external aid to the design process. To achieve this layout generation, filter optimization has been divided into two independent ASM processes. The first one generates the filter schematic (circuit element values) providing the required specifications. This first iterative process is necessary since, due to the narrow band operation of the admittance inverters, the target specifications are achieved by compensating the effects of such narrow band operation. The purpose of the second ASM algorithm is to automatically generate the layout from the filter schematic resulting from the first ASM process. To validate the new two-step ASM optimization tool, two sets of filter specifications (inputs of the developed tool), are considered. The generated filter layouts exhibit frequency responses that satisfy the specifications, and are in excellent agreement with the responses of the schematics. [ABSTRACT FROM AUTHOR]

The quadratic Vieta formulas ( x, y) ↦ ( u, v) = ( x + y, xy) in the complex geometry define a two-fold branched covering ℂ → ℂ ramified over the parabola u = 4 v. Thinking about topics considered in Arnold's paper Topological content of the Maxwell theorem on multipole representation of spherical functions, I came to a very simple idea: in fact, these formulas describe the algebraic structure, i.e., addition and multiplication, of complex numbers. What if, instead of the field of complex numbers, we consider an arbitrary ring? Namely for an arbitrary ring A (commutative, with unity) consider the mapping Φ: A → A defined by the Vieta formulas ( x, y) ↦ ( u, v) = ( x + y, xy). What kind of algebraic properties of the ring itself does this map reflect? At first, it is interesting to investigate the simplest finite rings A = ℤ and A = ℤ ×ℤ. Recently, it has been very popular to consider graphs associated to rings (the zero-divisor graph, the Cayley graph, etc.). In the present paper, we study the directed graph defined by the Vieta mapping Φ. [ABSTRACT FROM AUTHOR]

ABSTRACT Since the late 1970s, the field of evolutionary biology has undergone empirical and theoretical developments that have threaten the pillars of evolutionary theory. Some evolutionary biologists have recently argued that evolutionary biology is not experiencing a paradigm shift, but an expansion of the modern synthesis. Philosophers of biology focusing on scientific practices seem to agree with this pluralistic interpretation and have argued that evolutionary theory should rather be seen as an organized network of multiple problem agendas with diverse disciplinary contributors. In this paper, I apply a computational analysis to study the dynamics and conceptual structure of one of the main emerging problem agendas in evolutionary biology: evolvability. I have used CiteSpace, an application for visualizing and analyzing trends and patterns in scientific literature that applies cocitation analysis to identify scientific specialities. I analyze the main clusters of the evolvability cocitation network with the aim to identify the main research lines and the interdisciplinary relationships that structure this research front. I then compare these results with the existing classifications of evolvability concepts, and identify four main conceptual tensions within the definitions of evolvability. Finally, I argue that there is a lot of usefulness in the inconsistency in which the term evolvability is used in biological research. I claim that evolvability research has set up 'trading zones' in biology that make possible interdisciplinary exchanges. [ABSTRACT FROM AUTHOR]

Software reuse is a broadly accepted practice to improve software development quality and productivity. Although an object of study in software engineering since the late sixties, achieving effective reuse remains challenging for many software development organizations. This paper reports a systematic mapping study on how reusability relates to other non-functional requirements and how different contextual factors influence the success of a reuse initiative. The conclusion is that the relationships are discussed rather informally, and that human, organizational, and technological domain factors are extremely relevant to a particular reuse context. This mapping study highlights the need for further research to better understand how exactly the different non-functional requirements and context factors affect reusability. Copyright © 2016 John Wiley & Sons, Ltd. [ABSTRACT FROM AUTHOR]

This paper presents a simultaneous localization and mapping (SLAM) method that utilizes the measurement of ambient magnetic fields present in all indoor environments. In this paper, an improved exponentially weighted particle filter was proposed to estimate the pose distribution of the object and a Kriging interpolation method was introduced to update the map of the magnetic fields. The performance and effectiveness of the proposed algorithms were evaluated by simulations on MATLAB based on a map with magnetic fields measured manually in an indoor environment and also by tests on the mobile devices in the same area. From the tests, two interesting phenomena have been discovered; one is the shift of location estimation after sharp turning and the other is the accumulated errors. While the latter has been confirmed and investigated by a few researchers, the reason for the first one still remains unknown. The tests also confirm that the interpolated map by using the proposed method improves the localization accuracy. [ABSTRACT FROM PUBLISHER]

In the present paper, we study linear operators $$\Delta $$ from the algebra of $$2\times 2$$ matrices $${\mathbb {M}}_2({\mathbb {C}})$$ into its tensor square. Each such kind of mapping defines a quadratic operator on the state space of $${\mathbb {M}}_2({\mathbb {C}})$$ . We know that q-purity of quasi quantum quadratic operators (q.q.o.) is equivalent to the invariance of the unite sphere under the corresponding quadratic operator. Therefore, in the paper, we consider quadratic operators, which preserve the unit circle, and show that the corresponding quasi q.q.o. cannot be not positive. Note that this is a much weaker condition than the q-purity of quasi q.q.o. Moreover, we will classify q-pure circle preserving quadratic operators into three disjoint classes (non isomorphic). Moreover, we are able to show that quasi q.q.o. corresponding to the first class is block positive. Note that the block positivity is weaker than positivity. This kind of operator, i.e., not positive but block-positive operator allows us to detect that the given state on $${\mathbb {M}}_2({\mathbb {C}})\otimes {\mathbb {M}}_2({\mathbb {C}})$$ is either entangled or not. The obtained results will allow us to verify whether a given mapping is positive or not. This finding suggests us to produce a class of non-positive mappings. Moreover, it will shed some light in finding entanglement states. [ABSTRACT FROM AUTHOR]

Channel estimation and optimisation are the main challenging tasks in Multi Input Multi Output (MIMO) wireless communication systems. In this work, a Multi-Channel Bacterial Foraging Optimization Algorithm approach is proposed for the selection of antenna in a transmission area. The main advantage of this method is, it reduces the loss of bandwidth during data transmission effectively. Here, we considered the channel estimation and optimisation for improving the transmission speed and reducing the unused bandwidth. Initially, the message is given to the input of the communication system. Then, the symbol mapping process is performed for converting the message into signals. It will be encoded based on the space–time encoding technique. Here, the single signal is divided into multiple signals and it will be given to the input of space–time precoder. Hence, the multiplexing is applied to transmission channel estimation. In this paper, the Rayleigh channel is selected based on the bandwidth range. This is the Gaussian distribution type channel. Then, the demultiplexing is applied on the obtained signal that is the reverse function of multiplexing, which splits the combined signal arriving from a medium into the original information signal. Furthermore, the long-term evolution technique is used for scheduling the time to channels during transmission. Here, the hidden Markov model technique is employed to predict the status information of the channel. Finally, the signals are decoded and the reconstructed signal is obtained after performing the scheduling process. The experimental results evaluate the performance of the proposed MIMO communication system in terms of bit error rate, mean squared error, average throughput, outage capacity and signal to interference noise ratio. [ABSTRACT FROM AUTHOR]

Copyright of Kuwait Journal of Science is the property of Kuwait University, Academic Publication Council and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

In this paper, we propose an alternated inertial projection algorithm for solving multi-valued variational inequality problem and fixed point problem of demi-contractive mapping. On one hand, this algorithm only requires the mapping is pseudo-monotone. On the other hand, this algorithm is combined with the alternated inertial method to accelerate the convergence speed. The global convergence of the algorithm can be obtained under mild conditions. Preliminary numerical results show that the convergence speed of our algorithm is faster than some existing algorithms. [ABSTRACT FROM AUTHOR]

In a 1961 paper by E. Rakotch it was shown that a uniformly locally contractive mapping has a fixed point. In the present paper we show that for such a mapping, the fixed point problem is well posed and that inexact iterates of such a mapping converge to its unique fixed point, uniformly on bounded sets. Using the porosity notion, we also show that most uniformly locally nonexpansive mappings are, in fact, uniformly locally contractive. [ABSTRACT FROM AUTHOR]

The focus of our work is on the most recent results in fixed point theory related to contractive mappings. We describe variants of (s, q, φ, F)-contractions that expand, supplement and unify an important work widely discussed in the literature, based on existing classes of interpolative and F-contractions. In particular, a large class of contractions in terms of s, q, φ and F for both linear and nonlinear contractions are defined in the framework of b-metric-like spaces. The main result in our paper is that (s, q, φ, F)-g-weak contractions have a fixed point in b-metric-like spaces if function F or the specified contraction is continuous. As an application of our results, we have shown the existence and uniqueness of solutions of some classes of nonlinear integral equations. [ABSTRACT FROM AUTHOR]

The goal of this paper is to obtain some tripled coincidence point results for generalized contraction mappings in the setting of JS-metric spaces endowed with a partial order. Furthermore, illustrative examples to support the theoretical results and the application are obtained. Finally, some theoretical results are applied to discuss the existence of a solution for a system of non-homogeneous and homogeneous integral equations as applications. [ABSTRACT FROM AUTHOR]

In this paper, we prove that the unit ball B n ⊂ C n admits no Aut (B n) -invariant strongly pseudoconvex complex Finsler metric other than a constant multiple of the canonical Poincaré–Bergman metric, while the unit polydisk P n ⊂ C n (n ≥ 2) admits infinite many Aut (P n) -invariant strongly convex complex Finsler metrics other than the Bergman metric. The Aut (P n) -invariant strongly pseudoconvex complex Finsler metrics (which are not necessary Hermitian quadratic) are explicitly constructed and are proved to be strongly convex Kähler–Berwald metrics. We also investigate the existence of holomorphic invariant strongly pseudoconvex non-Hermitian quadratic complex Finsler metrics on reducible complex manifolds, and give a de Rham decomposition theorem for strongly convex Kähler–Berwald manifolds. [ABSTRACT FROM AUTHOR]

In this paper, we study on three kinds of spacelike helicoidal surfaces in Minkowski 4-space. First, we give an isometry between such helicoidal surfaces and rotational surfaces which is a kind of generalization of Bour's theorem in Minkowski 3-space to Minkowski 4-space. Then, we show that if the isometric pair of surfaces have same Gauss map, then they are hyperplanar and minimal. Also, we give the parametrizations of isometric pair of surfaces having same Gauss map. Finally, we present some examples via Wolfram Mathematica 10.4. [ABSTRACT FROM AUTHOR]

In this paper, an implicit viscosity iterative algorithm for nonexpansive mappings is proposed and investigated on Hadamard manifolds. A convergence theorem of a fixed point of a nonexpansive mapping is established on Hadamard manifolds. It is proved that the fixed point also solves a variational inequality. [ABSTRACT FROM AUTHOR]

In this paper, we study some new fixed point results in the context of w-distance as well as on wt-distance by using α-admissible mappings. Our results enhance and generalize several well known results available in the literature. We present examples to support our new findings. As an application, we utilize our results to obtain a solution of a nonlinear integral equation. [ABSTRACT FROM AUTHOR]

We consider the mathematical theory of geographical maps, with an emphasis on the eighteenth century works of Euler, Lagrange and Delisle. This period is characterized by the frequent use of maps that are no more obtained by the stereographic projection or its variations, but by much more general maps from the sphere to the plane. More especially, the characteristics of the desired geographical maps were formulated in terms of an appropriate choice of the images of the parallels and meridians, and the mathematical properties required by the map concern the distortion of the maps restricted to these lines. The paper also contains some notes on the general use of mathematical methods in cartography in Greek Antiquity, and on the mutual influence of the two fields, mathematics and geography. [ABSTRACT FROM AUTHOR]

Distributed optical fiber (OF) radiation sensing is a technique recently adopted at CERN for the monitoring of radiation dose levels in the proton synchrotron (PS) booster and in the PS. In this paper, we present the progress made on our previous work by benchmarking the rich information contained in the spatially distributed OF dose measurement with the radiation levels simulated with the FLUKA Monte Carlo code. We begin by discussing the experimental results for the qualification/calibration of a new radiation sensitive single-mode OF, currently being deployed in the accelerator tunnels. We performed this calibration tests online under 60Co $\gamma $ -rays source. We then move on to report the results of the online irradiation tests that we carried out in the CERN high energy accelerator mixed-field facility. Finally, we compare the OF radiation maps with the dose levels calculated along the OF cable with FLUKA for two very different configurations of the facility. This paper is a first promising example of combining 3-D Monte Carlo simulations of complex mixed-field environment with the 1-D spatially distributed dose measurements provided by the OF-based dosimetry. [ABSTRACT FROM AUTHOR]

In this paper, using the Nehari manifold and fibering maps, we study the existence of at least two positive solutions for the following p-Kirchhoff equation where is a bounded domain, with a, b, , is the p-Laplacian operator, is a parameter. [ABSTRACT FROM AUTHOR]

In his celebrated paper Generic projections, John Mather has shown that almost all linear projections from a submanifold of a vector space into a subspace are transverse with respect to a given modular submanifold. In this paper, an improvement of Mather's result is stated. Namely, we show that almost all linear perturbations of a smooth mapping from a submanifold of ℝm into ℝℓ yield a transverse mapping with respect to a given modular submanifold. Moreover, applications of this result are given. [ABSTRACT FROM AUTHOR]

The study of fractional Langevin equation has obtained abundant results in recent years. However, there are few studies on resonant fractional Langevin equation. In this paper, we investigate boundary value problems for fractional Langevin equation at resonance. By virtue of Banach contraction mapping principle and Leray-Schauder fixed point theorem, we obtain the uniqueness and existence of solutions. In addition, we get different stability results, including Ulam-Hyres stability and generalized Ulam-Hyres stability. Finally, give relevant examples to demonstrate the main results. [ABSTRACT FROM AUTHOR]

Let X be a continuum. A mean is a continuous function m: X ×X → X such that m(x,x) = x and m(x,y)=m(y,x) for every x,y ∈ X. In this note we give an example to respond negatively a question that appears in [3] and observe that using a theorem that appears in [1], two other questions posed in [3] are answered. [ABSTRACT FROM AUTHOR]

This paper proposes an extended state observer (ESO) based data-driven set-point learning control (DDSPLC) scheme for a class of nonlinear batch processes with a priori P-type feedback control structure subject to nonrepetitive uncertainties, by only using the process input and output data available in practice. Firstly, the unknown process dynamics is equivalently transformed into an iterative dynamic linearization data model (IDLDM) with a residual term. A radial basis function neural network is adopted to estimate the pseudo partial derivative information related to IDLDM, and meanwhile, a data-driven iterative ESO is constructed to estimate the unknown residual term along the batch direction. Then, an adaptive set-point learning control law is designed to merely regulate the set-point command of the closed-loop control structure for realizing batch optimization. Robust convergence of the output tracking error along the batch direction is rigorously analyzed by using the contraction mapping approach and mathematical induction. Finally, two illustrative examples from the literature are used to validate the effectiveness and advantage of the proposed design. • Novel extended state observer (ESO) based data-driven set-point learning control (DDSPLC). • Iterative dynamic linearized data model (IDLDM) for nonlinear batch processes. • Use the radial basis function neural network (RBFNN) to approximate pseudo partial derivative. • Set-point learning law with an adaptive learning gain for a priori P-type feedback structure. • Robust convergence of the resulting ILC system along the batch direction is rigorously analyzed. [ABSTRACT FROM AUTHOR]

It is known that a strict contraction on complete metric spaces with graphs possesses a fixed point. In the present paper we show that this property holds for mappings on complete metric spaces with graphs which are merely contractive. We also obtain some stability results. [ABSTRACT FROM AUTHOR]

In this paper, some sufficient conditions for the existence of common fixed point for two mappings in the setting of C-complex valued metric space are provided. Also, common fixed point theorems for weakly compatible mappings, weakly compatible mappings along with E.A and CLR properties have been established. Furthermore, as an application of the proved result, a solution to the integral equations of Urysohns' type has been obtained. [ABSTRACT FROM AUTHOR]

In this paper, we prove some common fixed point theorems for mappings satisfying contractive conditions involving rational terms and using control functions in the setting of complex valued S-metric spaces. The esthablished results extend and generalize several results from the existing literature. [ABSTRACT FROM AUTHOR]

In this paper, we discuss a new definition of w A -compatible maps in a modular metric space, prove a common fixed point theorem and utilize them to get a solution of a Volterra type integral equation. [ABSTRACT FROM AUTHOR]

In this paper, we study the higher genus equivariant Gromov—Witten invariants of K ℙ 1 × ℙ 1 via Givental formalism. In particular, we prove the generating function satisfies finite generation property and holomorphic anomaly equation. [ABSTRACT FROM AUTHOR]

In this paper, we prove some common fixed point results for two pairs of weakly compatible mappings satisfying (E:A) property and CLR-property in the framework of S-metric spaces and provide some examples to support the outcomes. We also prove well-posedness of a fixed point problem. Our findings generalize and extend a number of previously published findings. [ABSTRACT FROM AUTHOR]

In this paper, two new inertial CQ-algorithms with strong convergence results are constructed to approximate the solution of the generalized split common fixed point problem: given as a task of finding a point that belongs to the intersection of an infinite family of fixed point sets of demimetric mappings such that its image under an infinite number of linear transformations belongs to the intersection of another infinite family of fixed point sets of demimetric mappings in the image space. The algorithms are established based on the CQ-projection method with inertial effect and step-size selection technique so that the implementation of the proposed algorithms does not need any prior information about the operator norms. The proposed methods improve, complement, and generalize many of the important results in the literature. [ABSTRACT FROM AUTHOR]

Copyright of Revista @mbienteeducação is the property of Nucleo de Publicacoes Institucionais and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

Let A and B be nonempty subsets of a metric space X. Let S: A → B and g: A → A. In this paper, we prove the existence of best approximate solution x* in the space such that Sx* is as close to gx* as possible. That is, we find the global minimizer of the map x 7→ ρ(gx,Sx) where S is either proximal F*-weak contraction of the first kind or second kind or both, and g is an isometry, in complete metric spaces. Examples are provided to illustrate the validity of our results. [ABSTRACT FROM AUTHOR]

In the context of partial metric spaces, the purpose of this paper is to establish coupled and common coupled fixed point theorems for contractive type conditions. Furthermore, we provide some repercussions of the established results. Our findings extend and generalize a number of previously published findings. We demonstrate that the coupled fixed point problem of the aforementioned results is well-posed. [ABSTRACT FROM AUTHOR]

In this paper, we introduce a new fuzzy contraction mapping and prove that such mappings have fixed point in τ-complete fuzzy metric spaces. As an application, we shall utilize the results obtained to show the existence and uniqueness of random solution for the following random linear random operator equation. Moreover, we shall show the existence and uniqueness of the solutions for nonlinear Volterra integral equations on a kind of particular fuzzy metric space. [ABSTRACT FROM AUTHOR]

The intricate nature of the underlying structures in Skorohod spaces presents a complex problem when studying fixed point theorems. This paper presents certain fixed point properties for nonexpansive mappings in fuzzy Skorohod spaces. We show that for a Fuzzy Skorohod Space OSK, if z ∈ OSK is an interior point then, z is a fixed point if F is norm-attainable. [ABSTRACT FROM AUTHOR]

Characterising intractable high-dimensional random variables is one of the fundamental challenges in stochastic computation. The recent surge of transport maps offers a mathematical foundation and new insights for tackling this challenge by coupling intractable random variables with tractable reference random variables. This paper generalises the functional tensor-train approximation of the inverse Rosenblatt transport recently developed by Dolgov et al. (Stat Comput 30:603–625, 2020) to a wide class of high-dimensional non-negative functions, such as unnormalised probability density functions. First, we extend the inverse Rosenblatt transform to enable the transport to general reference measures other than the uniform measure. We develop an efficient procedure to compute this transport from a squared tensor-train decomposition which preserves the monotonicity. More crucially, we integrate the proposed order-preserving functional tensor-train transport into a nested variable transformation framework inspired by the layered structure of deep neural networks. The resulting deep inverse Rosenblatt transport significantly expands the capability of tensor approximations and transport maps to random variables with complicated nonlinear interactions and concentrated density functions. We demonstrate the efficiency of the proposed approach on a range of applications in statistical learning and uncertainty quantification, including parameter estimation for dynamical systems and inverse problems constrained by partial differential equations. [ABSTRACT FROM AUTHOR]

This paper deals with the question of achieving a suitable extension of the notion of Suzuki-type contraction to the framework of quasi-metric spaces, which allows us to obtain reasonable fixed point theorems in the quasi-metric context. This question has no an easy answer; in fact, we here present an example of a self map of Smyth complete quasi-metric space (a very strong kind of quasi-metric completeness) that fulfills a simple and natural contraction of Suzuki-type but does not have fixed points. Despite it, we implement an approach to obtain two fixed point results, whose validity is supported with several examples. Finally, we present a general method to construct non- T 1 quasi-metric spaces in such a way that it is possible to systematically generate non-Banach contractions which are of Suzuki-type. Thus, we can apply our results to deduce the existence and uniqueness of solution for some kinds of functional equations which is exemplified with a distinguished case. [ABSTRACT FROM AUTHOR]

This paper is aimed at proving a common fixed point theorem for F -Kannan mappings in metric spaces with an application to integral equations. The main result of the paper will extend and generalise the recent existing fixed point results in the literature. We also provided illustrative examples and some applications to integral equation, nonlinear fractional differential equation, and ordinary differential equation for damped forced oscillations to support the results. [ABSTRACT FROM AUTHOR]

Purpose – The purpose of this paper is to propose an objective method for technology forecasting (TF). For the construction of the proposed model, the paper aims to consider new approaches to patent mapping and clustering. In addition, the paper aims to introduce a matrix map and K-medoids clustering based on support vector clustering (KM-SVC) for vacant TF. Design/methodology/approach – TF is an important research and development (R&D) policy issue for both companies and government. Vacant TF is one of the key technological planning methods for improving the competitive power of firms and governments. In general, a forecasting process is facilitated subjectively based on the researcher's knowledge, resulting in unstable TF performance. In this paper, the authors forecast the vacant technology areas in a given technology field by analyzing patent documents and employing the proposed matrix map and KM-SVC to forecast vacant technology areas in the management of technology (MOT). Findings – The paper examines the vacant technology areas for MOT patent documents from the USA, Europe, and China by comparing these countries in terms of technology trends in MOT and identifying the vacant technology areas by country. The matrix map provides broad vacant technology areas, whereas KM-SVC provides more specific vacant technology areas. Thus, the paper identifies the vacant technology areas of a given technology field by using the results for both the matrix map and KM-SVC. Practical implications – The authors use patent documents as objective data to develop a model for vacant TF. The paper attempts to objectively forecast the vacant technology areas in a given technology field. To verify the performance of the matrix map and KM-SVC, the authors conduct an experiment using patent documents related to MOT (the given technology field in this paper). The results suggest that the proposed forecasting model can be applied to diverse technology fields, including R&D management, technology marketing, and intellectual property management. Originality/value – Most TF models are based on qualitative and subjective methods such as Delphi. That is, there are few objective models. In this regard, this paper proposes a quantitative and objective TF model that employs patent documents as objective data and a matrix map and KM-SVC as quantitative methods. [ABSTRACT FROM AUTHOR]

In this short paper, we study the measure directional entropy of a ℤ2-action generated by an invertible one-dimensional linear cellular automaton and the shift map acting on the compact metric space $\mathbb{Z}^{\mathbb{Z}}_{p^k}$. We obtain an upper bound of the measure directional entropy of the ℤ2-action with respect to arbitrary Bernoulli measures without making use of the natural extension previously used in the paper [M. Courbage and B. Kaminski, Studia Math. 153(3), 285-295 (2002)]. [ABSTRACT FROM AUTHOR]

In this paper, we established a hyperbolically quasi-isometric inequality for quasiconformal twice continuously differentiable self-mappings f of unit disk satisfying Poisson differential inequality. Moreover, the co-Lipschitz continuity with respect to Euclidean metric for this class of functions was derived. [ABSTRACT FROM AUTHOR]

The purpose of this paper is to study the weak and strong convergence of implicit iteration process to a common fixed point for a finite family of asymptotically nonexpansive mappings and nonexpansive mappings in Banach spaces. The results presented in this paper extend and improve the corresponding results of Refs. []. [ABSTRACT FROM AUTHOR]

With the development of manufacture, more and more 3D models are generated by users and many differnet factories. 3D model retrieval has been receiving more and more attention in computer vision and the field of data analysis. In this paper, we propose a novel 3D model retrieval algorithm by cross-modal feature mapping (CMFM), which utilize one single image as query information to address 3D model retrieval problem. Specifically, in this paper, we first proposed to leverage 2D image to handle 3d model retrieval problem, which is one new problem in this field. The proposed feature learning method can benefit: 1) avoiding the interference of query image recorded by different visual sensor; 2) handling cross-modal data retrieval by simple computer vision technologies, which can guarantee the performance of retrieval and also control that the retrieval time hold a low level; 3) the low complexity of this method can guarantee that this method can be applied in many fields. Finally, we validate the retrieval method on three popular datasets. Extensive comparison experiments show the superiority of the proposed mehtod. To the best of our knowledge, it is the first method to handle 3D model retreival based on one single 2D image. [ABSTRACT FROM AUTHOR]

In this paper, a common fixed point theorem for four mappings in cone metric spaces over Banach algebras is proved without assuming the normality of underlying cone. The results of this paper unify, generalize and extend some known results in cone metric spaces over Banach algebras. An example is presented which shows the significance of the result proved herein. [ABSTRACT FROM AUTHOR]

In this paper, we establish that Weinstein multipliers of Laplace transform type are Calderön-Zygmund operators in the sense of the associated space of homogeneous type, thus their mapping properties follow from the general theory. As an application, we deduce the -boundedness properties for the imaginary powers of the Weinstein operators . Finally we analyse the negative powers of and we give another result of boundedness of type for this operator. [ABSTRACT FROM AUTHOR]

In this paper we extend the result of Geraghty([4],[5]) about φ- contractions, starting from the papers of O.Popescu( [7]) respectively A.Fulga, A. Proca ([2]). We introduce a new notation and we establish a fixed point theorem for such mapping in a complete metric space. [ABSTRACT FROM AUTHOR]