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In order to meet the needs of military, road construction, multimedia industry and other aspects, UAVs are gradually given more functions. As the basic function of UAV applications, the fixed-point delivery problem model has higher and higher accuracy requirements. However, in the actual scene, the UAV delivery problem is affected by the interaction of various factors such as flight height, air resistance, and dive angle, which makes it difficult to achieve high stability and high hit accuracy. This paper will analyze the complex motion model based on the fixed-point delivery of explosives by UAV, study the relationship between the stability of UAV delivery and the hit accuracy, and analyze the influence of relevant parameters on the problem by using modeling. In this paper, a multivariate nonlinear continuous time change model is proposed, and a continuous time slice discretization idea operation model is introduced to approximate the time slice splitting inside the UAV launch motion. Secondly, the design quantified evaluation index reaction the initial velocity of the explosive, the launch Angle, the height off the ground and other parameters to analyze the model. Finally, the best scheduling strategy is obtained and verified by using the idea of variable traversal and trial- and-error simulation. The experimental results show that the variation of UAV flying height, speed, depression and other interference factors is consistent with the prediction of score and hit accuracy, according to the environment setting of this model, when the UAV is 300 meters above the ground and 290 meters away from the target horizontal position, the delivery speed is 250m/s, and the pitch angle is about 27°, the fixed-point delivery of explosives is the best strategy. [ABSTRACT FROM AUTHOR]

The foremost target of the proposed work focuses on establishing fixed point theorems for the new concept named Intuitionistic fuzzy cone-b metric space (in short IFCbMS). Various definitions like compatible mappings, weakly-compatible maps (WC maps) and E.A. property are also used to prove new results for IFCbMS. The proofs of fixed points for FMS, IFMS, NFMS in the setting of E.A. property are taken as base for this research. Examples mentioned in the paper are increasing the importance of the research done. An application is also given to show the importance of the result proved. The application of this paper leads to the solution of an integral equation in context of implicit functions. [ABSTRACT FROM AUTHOR]

In this paper, in the first part, we will improve and extend the main results 1 and 2 of Mishra et al. [6] in a b-metric space, and in the second and last part, we will improve and extend Theorem 5 and Theorem 6 of Shah [7] in a b-metric-like space, in both sections, we will use our new notion of occasionally weakly biased maps of type (풜). Some illustrative examples are given in order to clarify and support our findings. [ABSTRACT FROM AUTHOR]

In this paper, using the method of Hicks, we prove some new related fixed point theorems for pair of mappings on two d-complete topological spaces under the suitable conditions. We also derive some related fixed point theorems from our main results. Finally, by using w-continuity, we establish a related fixed point theorem in d-complete Hausdorff topological spaces. [ABSTRACT FROM AUTHOR]

In this paper, we prove the following generalization of the classical Darbo fixed point principle : Let X be a Banach space and µ be a montone measure of noncompactness on X which satisfies the generalized Cantor intersection property. Let C be a nonempty bounded closed convex subset of X and T : C → C be a continuous mapping such that for any countable set Ω ⊂ C, we have µ(T(Ω)) ≤ kµ(Ω), where k is a constant, 0 ≤ k < 1. Then T has at least one fixed point in C. The proof is based on a combined use of topological methods and partial ordering techniques and relies on the Schauder and the Knaster-Tarski fixed point principles. [ABSTRACT FROM AUTHOR]

The purpose of this paper is to prove a common fixed point theorem for a pair of mappings satisfying an implicit relation, generalizing the main results from [6], [10], [11], [13] and other papers. [ABSTRACT FROM AUTHOR]

In this paper, we prove a new coincidence and common fixed point theorem of hybrid mappings using the C-class function and T-weak commutativity. Finally, we give an example to illustrate our result. [ABSTRACT FROM AUTHOR]

In 2013, Azadifar et al. [3] established fixed point result in integral type contraction in modular metric space and 2020, Chaira et al.[11] established some extensions of Fixed Point Theorems for Weak-Contraction Mapping in Partially Ordered Modular Metric Spaces. In this paper we have established some common fixed point results in integral type contractions in modular and convex modular metric spaces. [ABSTRACT FROM AUTHOR]

In this paper, unique common fixed point theorems for pairs of subcompatible and reciprocally continuous mappings or compatible and subsequentially continuous mappings are obtained. This unique common fixed point is guaranteed under a new concept named a weak altering distance function. Our theorems improve some results especially the ones of [2]. [ABSTRACT FROM AUTHOR]

In this paper we formulate a setvalued fixed point problem by combining four prevalent trends of fixed point theory. We solve the problem by showing that the set of fixed points is nonempty. Further we have a data dependence result pertaining to the problem and also a stability result for the fixed point sets. The main result is extended to metric spaces with a graph. The results are obtained without the use of metric completeness assumption which is replaced by some other conditions suitable for solving the fixed point problem. There are some consequences of the main result. The main result is illustrated with an example. [ABSTRACT FROM AUTHOR]

In this work the Brouwer fixed point theorem for a triangle was proved by two methods based on the Sperner Lemma. One of the two proofs of Sperner's Lemma given in the paper was carried out using the so-called index. [ABSTRACT FROM AUTHOR]

In this paper, inspired by Proinov type contractions, we intend to acquire novel definitions and results that expand Sehgals [3] metric fixed point theory in the sense of modular b--metric space. To demonstrate the theorems, we employ a general form of (α, β) --admissible and multivalued mappings and obtain some general results for single-valued mapping in the context of modular b--metric space. [ABSTRACT FROM AUTHOR]

The purpose of this paper is to give some extensions of Steffensen's method to the space ℝn. [ABSTRACT FROM AUTHOR]

This paper investigates the existence of positive solutions for a fourth-order differential system using a fixed point theorem of cone expansion and compression type. [ABSTRACT FROM AUTHOR]

The main purpose of this paper is to establish some common fixed point theorems for single and set-valued mappings, under strict contractive conditions with no continuity, no completeness, no inclusions and without using neither compactness nor closeness. These theorems improve the results of Fisher [8], Ahmed [1] and [2], and others. Also, common fixed point theorems for two hybrid pairs satisfying a contractive condition of integral type are given improving the results of [3], [4] and [6]. [ABSTRACT FROM AUTHOR]

In this paper, in the setting of Hadamard spaces, a iterative scheme is proposed for approximating a solution of the inclusion problem for a finite family of monotone operators which is a unique solution of a variational inequality. Some applications in convex minimization and fixed point theory are also presented to support the main result. [ABSTRACT FROM AUTHOR]

We utilize Hardy-Rogers contraction and CJM−contraction in a C*−algebra valued partial metric space to create an environment to establish a fixed point. Next, we present examples to elaborate on the novel space and validate our result. We conclude the paper by solving a boundary value problem and a matrix equation as applications of our main results which demonstrate the significance of our contraction and motivation for such investigations. [ABSTRACT FROM AUTHOR]

In this paper, we study a class of univalent functions f as defined by making use of the generalized Ruscheweyh derivatives involving a general fractional derivative operator, satisfying .... A necessary and sufficient condition for a function to be in the class Aλ,µ,ν γ(n, β) (n; fi) is obtained. Also, our paper includes linear combination, integral operators and we introduce the subclass Aλ,µ,ν γ(n, β) ;cm (1; fi) consisting of functions with negative and fixed finitely many coefficients. We study some interesting properties of Aλ,µ,ν γ(n, β) ;cm (1; fi). [ABSTRACT FROM AUTHOR]

V. Gupta introduced recently the Rathore type operators Rn,c. For them we obtain Voronovskaja type results. We extend the classical Szász-Mirakjan operator and compare the extension with Rn,c. [ABSTRACT FROM AUTHOR]

The aim of this paper is to introduce Ciric-Suzuki type quasi-contractive multivalued operators and to obtain the existence of fixed points of such mappings in the framework of b-metric spaces. Some examples are presented to support the results proved herein. We establish a characterization of strong b-metric and b-metric spaces completeness. An asymptotic estimate of a Hausdorff distance between the fixed point sets of two Ciric-Suzuki type quasi-contractive multivalued operators is obtained. As an application of our results, existence and uniqueness of multivalued fractals in the framework of b-metric spaces is proved. [ABSTRACT FROM AUTHOR]

This paper is concerned with the problem of controllability of semi-linear stochastic systems with time varying multiple delays in control in finite dimensional spaces. Sufficient conditions are established for the relative controllability of semilinear stochastic systems by using the Banach fixed point theorem. A numerical example is given to illustrate the application of the theoretical results. Some important comments are also presented on existing results for the stochastic controllability of fractional dynamical systems. [ABSTRACT FROM AUTHOR]

In this paper, we study the existence of positive solutions for the following nonlinear polyharmonic equation (-Δ)mu+λf(x, u) = 0 in B; subject to some boundary conditions, where m is a positive integer, λ is a nonnegative constant and B is the unit ball of ℝn (n ≥ 2). Under some appropriate assumptions on the nonnegative nonlinearity term f(x, u) and by using the Schäuder fixed point theorem, the existence of positive solutions is obtained. At last, examples are given for illustration. [ABSTRACT FROM AUTHOR]

This paper is concerned with the controllability of nonlinear fractional delay dynamical systems with implicit fractional derivatives for multiple delays and distributed delays in control variables. Sufficient conditions are obtained by using the Darbo fixed point theorem. Further, examples are given to illustrate the theory. [ABSTRACT FROM AUTHOR]

In this paper, some common fixed point theorems for pairs of subcompatible and reciprocally continuous mappings or compatible and subsequentially continuous mappings satisfying integral type are obtained. Our results improve several results especially the results of [3], Pathak et al. [13], Djoudi and Aliouche [6], Mbarki [10] and others. [ABSTRACT FROM AUTHOR]

This paper studies the existence of periodic solutions of a third order iterative differential equation. The main tool used here is Krasnoselskii-Burton's fixed point theorem dealing with a sum of two mappings, one is a large contraction and the other is compact. [ABSTRACT FROM AUTHOR]

The fixed point theory is essential to various theoretical and applied fields, such as variational and linear inequalities, the approximation theory, nonlinear analysis, integral and differential equations and inclusions, the dynamic systems theory, mathematics of fractals, mathematical economics (game theory, equilibrium problems, and optimisation problems) and mathematical modelling. This paper presents a few benchmarks regarding the applications of the fixed point theory. This paper also debates if the results of the fixed point theory can be applied to the mathematical modelling of quality. [ABSTRACT FROM AUTHOR]

In this paper, we obtain a Presic type fixed point theorem for two pairs of jointly 2k-weakly compatible maps in partial b-metric-like spaces. We also give an example to illustrate our main theorem. We obtain three corollaries, for three and two maps respectively, which are variations of theorems from the papers [1, 2] and [8]. [ABSTRACT FROM AUTHOR]

The purpose of this paper is to prove a general fixed point theorem for two pairs of mappings satisfying a new type of common limit range property. In the last part of the paper, as applications, some fixed point results for mappings satisfying contractive conditions of integral type, for Φ - contractive mappings and ѱ - weak contractive mappings generalizing Theorem 2 [27] and other known results are obtained. [ABSTRACT FROM AUTHOR]

The purpose of this paper is to prove a general fixed point theorem for two pairs of mappings involving altering distances and satisfying a new type of common limit range property in partial metric spaces. In the last part of the paper, as applications, some fixed point results for a sequence of mappings, for mappings satisfying contractive conditions of integral type and for ɸ - contractive mappings is partial metric spaces are obtained. [ABSTRACT FROM AUTHOR]

The purpose of this paper is to give some extensions of Steffensen's method to the space ℝn. [ABSTRACT FROM AUTHOR]

The purpose of this paper is to generalize for real vector-valued functions of a result for real iterative functions and to give some applications for nonlinear system of equations. [ABSTRACT FROM AUTHOR]

The purpose of this paper is to prove a general fixed point theorem in GP - metric spaces for mappings satisfying an implicit relation, which generalizes and improves Theorem 2.10 [6]. In the last part of the paper we prove that these mappings satisfy property (P) in GP - metric spaces and if GP - metric is symmetric, then the fixed point problems is well posed. [ABSTRACT FROM AUTHOR]

The aim of this paper is to present an alternative proof for the theorems given by Z. Finta in [2], which states that there exists no sequence Ln of generalized Bernstein-type operators that have ei and ej as fixed points for any n = j; j + 1;..., but there exist an infinity of such operators that have ei and ej as fixed points, where j is fixed. [ABSTRACT FROM AUTHOR]

In this paper, we study the controllability of nonlinear fractional integrodifferential systems with implicit fractional derivative. Sufficient conditions for controllability results are obtained through the notion of the measure of noncompactness of a set and Darbo’s fixed point theorem. Examples are included to verify the result. [ABSTRACT FROM AUTHOR]

In this paper, we give some common fixed point theorems for a class of occasionally weakly compatible mappings satisfying contractive con- ditions of integral type. Our results generalize a host of previously the- orems. We also present some illustrative examples which support our main results and show the applicability and validity of these results. [ABSTRACT FROM AUTHOR]

In the present paper we establish some theorems on the existence of common approximate fixed points for a pair of generalized contractive type mappings with the property that the diameter of the set of common e--fixed points is tending to zero as e tends to zero. [ABSTRACT FROM AUTHOR]

In this paper, we investigate the existence of solution of integro-differential equations (IDEs) with Hilfer-Hadamard fractional derivative. The main results are obtained by using Schaefer's fixed point theorem. Some Ulam stability results are presented. [ABSTRACT FROM AUTHOR]

In this paper, we introduce the notion of α-ψ-contractive mapping of type E, to remedy of the weakness of the existing contraction mappings. We investigate the existence and uniqueness of a fixed point of such mappings. We also list some examples to illustrate our results that unify and generalize the several well-known results including the famous Banach contraction mapping principle. [ABSTRACT FROM AUTHOR]

In this paper we prove some coupled coincidence fixed point theorem in Cone metric space with a cone having non-empty interior. Our results is a generalization of the results of W. Shatanawi[6]. The result generalize many well known results in the literature. [ABSTRACT FROM AUTHOR]

The aim of the present paper is to obtain a common fixed point theorem by employing the new introduced notion of weak subsequential continuity [3]. This new notion is a proper generalization of weak reciprocal continuity introduced recently by R.P. Pant et al. [26] and sequential continuity of type (Af) and (Ag) introduced by D. Gopal et al. [8], and is applicable to compatible mappings as well as R-weakly commuting mappings of type (Af) (resp. (Ag) and (P)). Our results generalize several fixed point theorems. [ABSTRACT FROM AUTHOR]

In this paper, we prove the strong convergence of the composite Halpern-type iteration for a family of nonexpansive mappings in CAT(0) spaces and compare our results with several recent results in this subject. Also, the inexact version of the Halpern iteration is studied in CAT(0) spaces. [ABSTRACT FROM AUTHOR]

This paper describes the hardware implementation methodologies of fixed point binary division algorithms. The implementations have been extended for the execution of the reciprocal of the binary numbers. Radix-2 (binary) implementations of digit recurrence and multiplicative based methods have been considered for comparison. Functionality of the algorithms have been verified in Verilog hardware description language (HDL) and synthesized in Xilinx ISE 8.2i targeting the device xc4vlx15-12sf363 of Virtex4 family. Implementation was done for both signed and unsigned number systems, having bit width of operands vary as an exponential function of 2n, where n=2 to 5. Performance parameters have been calculated in terms of clock frequency, FPGA slice utilization, latency and power consumption. Implementation results indicate that multiplicative based algorithm is superior in terms of latency, while digit recurrence algorithms are consuming low power along-with less area overhead. [ABSTRACT FROM AUTHOR]

In this paper we prove a related fixed point theorem for three pairs of mappings, on three complete metric spaces, satisfying rational type contractive conditions. [ABSTRACT FROM AUTHOR]

Evaluation of uncertainties of the temperature measurement by standard platinum resistance thermometer calibrated at the defining fixed points according to ITS-90 is a problem that can be solved in different ways. The paper presents a procedure based on the propagation of distributions using the Monte Carlo method. The procedure employs generation of pseudo-random numbers for the input variables of resistances at the defining fixed points, supposing the multivariate Gaussian distribution for input quantities. This allows taking into account the correlations among resistances at the defining fixed points. Assumption of Gaussian probability density function is acceptable, with respect to the several sources of uncertainties of resistances. In the case of uncorrelated resistances at the defining fixed points, the method is applicable to any probability density function. Validation of the law of propagation of uncertainty using the Monte Carlo method is presented on the example of specific data for 25 Ω standard platinum resistance thermometer in the temperature range from 0 to 660 °C. Using this example, we demonstrate suitability of the method by validation of its results. [ABSTRACT FROM AUTHOR]

In this paper, we discus the existence of solutions for Riemann-Liouville fractional differential inclusions supplemented with Erdélyi-Kober fractional integral conditions. We apply endpoint theory, Krasnoselskii's multi-valued fixed point theorem and Wegrzyk's fixed point theorem for generalized contractions. For the illustration of our results, we include examples. [ABSTRACT FROM AUTHOR]

In this paper, we introduce an interesting extention of the partial b- metric spaces called partial Sb-metric spaces, and we show the existence of fixed point for a self mapping defined on such spaces. [ABSTRACT FROM AUTHOR]

The purpose of this paper is to generalize for real vector-valued functions of a result for real iterative functions and to give some applications for nonlinear system of equations. [ABSTRACT FROM AUTHOR]

In this work we define the concepts of the coupled orbit and coupled orbitally completeness. After then, using the method of Bollenbacher and Hicks [8], we prove some Caristi type coupled fixed point theorems in coupled orbitally complete metric spaces for a function P : E × E → E. We also give two examples that support our results. [ABSTRACT FROM AUTHOR]

We propose 풮풜, η−풮풜, η−풮 풜min, and 풮풜η,δ,ζ−contractions and notions of η−admissibility type b and ηb−regularity in parametric Nb-metric spaces to determine a unique fixed point, a unique fixed circle, and a greatest fixed disc. Further, we investigate the geometry of non-unique fixed points of a self mapping and demonstrate by illustrative examples that a circle or a disc in parametric Nb−metric space is not necessarily the same as a circle or a disc in a Euclidean space. Obtained outcomes are extensions, unifications, improvements, and generalizations of some of the well-known previous results. We provide non-trivial illustrations to exhibit the importance of our explorations. Towards the end, we resolve the system of linear equations to demonstrate the significance of our contractions in parametric Nb−metric space. [ABSTRACT FROM AUTHOR]

In this paper a general fixed point theorem in complete G - metric space for weakly compatible pairs satisfying a Φ - implicit relation is proved, which generalizes and unifies the results given by Theorems 3.2 and 3.3 [20]. [ABSTRACT FROM AUTHOR]