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The purpose of the present this paper is to study and establish some new common and coupled coincidence fixed point results for commuting mappings with prosperity of mixed풢 – monoton in the setting of partially ordered complete 풟* – metric sps. In our paper we extend and generalize several results for a pair of commutative mappings in the literature. Furthermore, suitable examples that support our main results have been introduced. [ABSTRACT FROM AUTHOR]

The main object in Feigenbaum's universality theory is the fixed point g(x) of renormalization transformation in the space of unimodal maps on interval [−1, 1]. The map g(x) is called Feigenbaum's map. In present paper we study the Feigenbaum's unstable separatrix is that is the family of unimodal maps of the interval [−1, 1] with one critical point. It is established implicit formulas for periodic orbits of this family, and the relations between orbits of different maps of this family. [ABSTRACT FROM AUTHOR]

In the current research paper we have defined rationalized Ξ-contraction for four mappings. In b-metric, using simulation function, for rationalized Ξ-contraction fulfilling the weakly compatible condition for four mappings in pairs, fulfilling conjoint limit range property, a unique common fixed point theorem has been proved. The conclusion has been tested by not using the situation of completeness for b-metric space. The outcome is an improvement and generalization of [2, 4, 6] existing in metric space and b-metric spaces. To back-up the result a supporting example is also discussed. [ABSTRACT FROM AUTHOR]

The purpose of this paper is to establish some new common fixed point results for a pair of conditionally sequential absorbing self-mappings satisfying an enriched contraction condition in Banach space by introducing the notion of weaker form of continuity. We have also illustrated an example in support of our main result. Further, to make our result more effective, we have established the existence and the uniqueness of the solution of an Integral equation as an application of our main result with an example. [ABSTRACT FROM AUTHOR]

Altun I. and Turkoglu D. proved some fixed point theorems for two pairs of weakly compatible self-mappings satisfying an implicit relation. In this paper, we extend the results proved by Altun and Turkoglu by using E.A. and (CLR) properties along with weakly compatible property for two pairs of self-maps. [ABSTRACT FROM AUTHOR]

The research of differential equations has a long history, among which there are limited types of equations with definite solutions. However, the solution of a large number of differential equations is ambiguous. The study of bounded and asymptotic properties for solutions of differential equations plays an important role in the qualitative theory and application of differential equations. In this paper, we study the bounded and asymptotic properties of a class of second-order differential equations. By constructing Banach space, cleverly defining the operator, using Schauder-Tikhonov fixed point theory and L'hospital rule, the bounded and asymptotic properties of equation solutions are studied, and the existing results are generalized. Finally, the results can be used to study the asymptotic properties of differential equation solutions. [ABSTRACT FROM AUTHOR]

The purpose of this paper is to study the Picard iterations of a Hermitian matrix operator. In [1], we proved the existence and uniqueness of attractive fixed point of an operator defined on Hermitian matrix space and satisfying a certain condition. In this paper we show that the n th Picard iterations of that Hermitian matrix operator converges to the fixed point with the rate O(n-1). [ABSTRACT FROM AUTHOR]

In this paper, we present some fixed point results for self-mappings satisfying an implicit relation in partial b-metric spaces which are generalization of several previously fixed point theorems in the literature. As an application, we obtained solution of non-linear integral equation. [ABSTRACT FROM AUTHOR]

For a complete extended b-metric space with continuous mapping satisfying the rational type contractive condition, a distinctive common fixed point theorem is established. Our outcome is the extension of several results available in the literature, from metric space to extended b-metric space. In specific, Dass and Gupta[Indian J. Pure Appl. Math. 6, 1455–1458 (1975)], Jaggi[Indian J. Pure Appl. Math. 8, 223–230 (1977)], Alqahtani et.al.[J. Inequal. Appl. Paper No. 220, 11 pp (2019)] and even the well-known Banach contraction mapping theory are extracted. A proper example is also given in sustenance of it. [ABSTRACT FROM AUTHOR]

In this present paper, we establish the existence and uniqueness of the common fixed point theorem for self-maps in C-algebra valued b-metric spaces. Besides, we give example to illustrate our theorem. Findings obtained in this paper unify, generalize, and complement the comparable results from the current literature. [ABSTRACT FROM AUTHOR]

The system of nonlinear impulsive differential equations with two-point and integral boundary conditions are investigated. Theorems on existence and uniqueness of a solution are established under some sufficient conditions on nonlinear terms. A simple example of application of the main result of this paper is presented. [ABSTRACT FROM AUTHOR]

In [T. K. Samanta, S. Mohinta and I. H. Jebril, On fixed point theorems in intuitionistic fuzzy metric spaces:int. J. Open problems compt. Math, Vol.5, No2, (2012), 15 − 27] the authors raise an open problem that Kannan’s and Chatterjee’sfixed point theorems can be established with the help of (TS − IFλ) contractive mapping. In this paper we not only gave the answer to this problem but also obtain generalization of Kannan’s and Chatterjee’s fixed point theorem in intuitionistic fuzzy metric spaces with new contractive mapping IFCα. We also obtained generalization of Banach fixed point theorem of (TS-IF) contractive mapping. An example is also given to convince our results. [ABSTRACT FROM AUTHOR]

In this paper, we investigate the problem of existence and nonexistence of positive solutions for the nonlinear boundary value problem of fractional order: Dαu(t)+λa(t)f(u(t)) = 0, 0=3, u(0) = u″(0) = u‴(0) = [double_underdot][double_underdot]... = u(n-1)(0) = 0, γu′(1)+βu″(1) = 0, where Dα is the Caputo’s fractional derivative and λ is a positive parameter. By using Krasnoeselskii’s fixed-point theorem of cone preserving operators, we establish various results on the existence of positive solutions of the boundary value problem. Under various assumptions on a(t) and f(u(t)), we give the intervals of the parameter λ which yield the existence of the positive solutions. An example is also given to illustrate the main results. [ABSTRACT FROM AUTHOR]

Due to increasing applications of fixed-point theory and iterative schemes in real life in various directions, we develop a new result for using Das and Debata [1] iterative process with a pair of Zamfirescu operators in ABS ("Arbitrary Banach Space") and verify the convergence of an iteration given by [1]. By this result we extend and refine many existing results. [ABSTRACT FROM AUTHOR]

In this paper, we apply the Kakutani’s fixed point theorem to a first order differential inclusion governed by the subdifferential of primal lower nice functions in a Hilbert space [ABSTRACT FROM AUTHOR]

The theory of convergence of fixed point iteration has been developed a lot over the past years due to its immense significance in real life applications. The evolution of iterative processes has reached from one-step process to recently defined four-step process. Also, the metric spaces have been generalized to Banach spaces but not much work is done in complex valued Banach space. The objective of this paper is to establish a convergence result of a newly defined CUIA iterative process in the framework of complex valued Banach space under contraction mappings. The current work will enhance the already existing literature of complex valued Banach space. The results are supported with suitable example. [ABSTRACT FROM AUTHOR]

In this paper, we prove some periodic point results on partial metric spaces. Thus, we generalize famous results existing in the literature such as Boyd-Wong fixed point theorem and Banach fixed point theorem. [ABSTRACT FROM AUTHOR]

In this paper we present a total variation denoising problem for probability measures using the set of fixed point probability measures of iterated function systems with probabilities IFSP. By means of the Collage Theorem for contraction mappings, we provide an upper bound for this problem that can be solved by determining a set of probabilities. [ABSTRACT FROM AUTHOR]

In this paper, we study the existence of equilibrium in non-cooperative game with fuzzy parameters. We generalize te results of Larbani and Kacher(2008, 2009) in infinite dimentional spaces. The proof is based on the Browder-Fan fixed point theorem. [ABSTRACT FROM AUTHOR]

In this paper, we investigate nonlinear singular fourth-order m-point eigenvalue problems with bending term u″. By using fixed point theory in cones, an explicit interval for λ is derived such that for any λ in this interval. [ABSTRACT FROM AUTHOR]

In this paper we present a common fixed point theorem using weakly semi compatible mappings in metric spaces and also we justify our result with an example. [ABSTRACT FROM AUTHOR]

In this paper we prove a common fixed point theorem which is a generalization of Bijendra Singh and M.S.Chauhan using some weaker conditions namely semi compatible and iterative sequence instead of compatibility and completeness of the metric. [ABSTRACT FROM AUTHOR]

In this paper, we studied the sufficient conditions for the existence of common fixed point theorem in a closed convex subset of 2-Banach spaces for a compatible pair of self-maps. Which is used to discover the connection between common fixed points and S-best coapproximation in 2-Banach spaces, Where the most theorem in the literature about these construct discuss many concepts, the first one concepts of convergence. Fixed point theorem may exhibit radically different doing for various course of instruction of mappings, it could not be convergent for others. Therefore, it is important to determine whether an iteration theorem converges to fixed point of a mapping. The second concept is the pace of convergence of iteration theorems, after examining convergence it is important to check whether this iteration theorem is faster than some well-known iteration theorems or not. If it is faster than some current iteration theorems, then it could be more useful than the other. The final examination concept is the stableness of fixed point theorems. The topic of stability, as an application of the hypothesis of fixed point. [ABSTRACT FROM AUTHOR]

In 1984, Khan et al. [3] established some fixed point theorems in complete and compact metric spaces by using altering distance functions. In 2017, Gordji et al. [2] described the notion of orthogonal set and orthogonal metric spaces. In their work, they held a generalization of Banach fixed point theorem in this interestingly-defined construction and in addition, applied their acquired results to demonstrate the existence of a solution of an ordinary differential equation. In this paper, some fixed point theorems on orthogonal metric spaces via altering distance functions inspired by [3] and [2] are presented. [ABSTRACT FROM AUTHOR]

Recent modeling of real world phenomena give rise to fractional differential equations with non-instantaneous impulses. The main goal of this paper is to provide an existence and uniqueness results for Riemann-Liouville fractional differential equation with non-instantaneous impulses. It is studied the case when the lower bound of the Riemann-Liouville derivative is fixed at the initial time. Also two different cases are studied with initial condition in Riemann-Liouville integral type and with delighted form. Fixed point Theorem is applied for a generalized metric space with a generalized distance. [ABSTRACT FROM AUTHOR]

In this paper, we have introduced the concept of property E.A and CLRT in the context of JS-metric spaces is introduced and proved some related common fixed point theorems. [ABSTRACT FROM AUTHOR]

The main contribution of the current paper is to obtain new results on the existence and uniqueness of the solution of fractional integro-differential equations under uncertainty with nonlocal conditions. For this purpose, we have used two basic tools, the contraction mapping principle and Krasnoselskii's fixed-point theorem. Indeed, we have considered the original problem involving fuzzy Caputo differentiability, together with fuzzy nonlinear condition. [ABSTRACT FROM AUTHOR]

In this paper, we investigate fixed point property for an l¹ like subspace in c0 with an equivalent norm and talk about Lorentz-Marcinkiewicz spaces and fixed point property (FPP) for l0 w, ∞ space. It is seen that the subspace given with equivalent norm and Lorentz-Marcinkiewicz space l0w,∞ have weak fixed point property (w-FPP) but they both fail the FPP for nonexpansive mappings (n.e.). [ABSTRACT FROM AUTHOR]

In this paper, we study existence of the solutions to boundary value problems for impulsive differential equations with two-point and integral boundary conditions. Existence and uniqueness results are obtained by using well-known fixed point theorems. Also, some illustrative examples are given. [ABSTRACT FROM AUTHOR]

In this paper, we prove an existence of Υ-fixed point as multidimensional fixed point in partially ordered quasi metric space under (ψ, θ, ϕ)-weak contraction conditions. This result extends and generalizes some existing results in the literature. [ABSTRACT FROM AUTHOR]

This paper proves a certain unique coupled fixed point result fulfill some rational expression in an ordered cone metric space. We gave an illustration to support our outcome. [ABSTRACT FROM AUTHOR]

In this paper we investigate two-dimensional nonlinear Urisohn-Volterra fuzzy functional integral equation (2D-NUVFFIE). We prove the existence of a continuous solution of 2D-NUVFFIE using the Schauder;s fixed point theorem. Then the uniqueness of the solution is proved using some conditions. To validate the obtained results we present an illustrative example. [ABSTRACT FROM AUTHOR]

In this paper, we prove the existence and uniqueness of the fixed point in some type of mappings which satisfy the T-Kannan contraction on generalized distance in cone metric spaces. The presented theorem extend and generalize several well-known comparable results in literature. [ABSTRACT FROM AUTHOR]

The purpose of this paper is to prove the existence of a unique fixed point of T-contraction type mappings under c-distance on complete cone metric spaces depended on another function. [ABSTRACT FROM AUTHOR]

This paper deals with the formulation, discretization and implementation of the Stokes system involving Coulomb's type slip boundary conditions. The computational strategy is based on a fixed-point formulation of the problem and the method of successive approximations. Numerical experiments confirm the usability of this approach. [ABSTRACT FROM AUTHOR]

Despite a large body of experimental work on asymmetry-induced transport in non-neutral plasmas, the correct theory remains elusive. Previous work using single particle computer simulations has shown that the particle dynamics in such systems can be quite complex. In this paper, the techniques of chaos theory are employed in an effort to better understand these dynamics. The dynamical equations are re-conceptualized as describing time-independent trajectories in a four-dimensional space consisting of the radius r, rotating frame angle , axial position z, and axial velocity v. Initial work includes identification of an integral of the motion, fixed-point analysis of the dynamical equations, the construction and interpretation of Poincaré sections to visualize the dynamics, and, for the case of chaotic motion, numerical calculation of the largest Lyapunov exponent using the technique of Benettin et. al. [ABSTRACT FROM AUTHOR]

In this paper, we propose an efficient iterative method to solve two-dimensional nonlinear Hammerstein fuzzy functional integral equations based on fuzzy Haar wavelets. We prove the convergence of the method by Banach's fixed point theorem and investigate the numerical stability of the presented method with respect to the choice of the first iteration. Finally, some numerical experiment confirm the theoretical results and illustrate the accuracy of the proposed method. [ABSTRACT FROM AUTHOR]

In this paper, we generalize the existence of Berge's strong equilibrium in Deghdak (see [7]) to discontinuous games in infinite dimensional space of srategy. Moreover, we prove that most of Berge's strong games are essential. [ABSTRACT FROM AUTHOR]

In this study we first give short extract from our forthcoming paper for Newton-Padé approximations for univariate next, we generalize main lemmas for the case of multivariate functions. [ABSTRACT FROM AUTHOR]

Let modΛd be a category of all d-dimensional left modules over finitely generated K-algebra Λ where K is the algebraically closed field. By the same idea identifying the points of modΛd with points in HomK(Λ, EndK(Kd)), we parameterize finite chain complexes X• with points in compΛd with fixed sequence d = (dimXn, ..., dimX0 of dimensions. In this paper we will show that compΛd is an affine variety and give a proof of the following observation in Saorin and Huisgen-Zimmermann that the natural map from compΛd to the collection of complexes X• with fixed sequences d dimensions identifies the orbits of the GLd(K)-action on compΛd with the isomorphism classes of complexes of the described format in the other. [ABSTRACT FROM AUTHOR]

In this paper we present a model of tumor based on the use of an autonomous system of ordinary differential equations (ODE). The model assumes that normal cells and cancer cells coexist in an environment as two different species which compete for nutrients and space. The immune system and the tumor cells fight against each other. The analysis of the linear stability of the fixed points of the model yields to two groups of solutions. In the first one, the immune system wins against the tumor cells, so the cancer disappears. In the second one, the cancer grows until some fixed level and then stabilizes. [ABSTRACT FROM AUTHOR]

In industrial applications, fixed-point microprocessors are used widely considering cost and energy saving. Therefore, signal processing algorithm implements on these microprocessor in fixed-point arithmetic. On the other hand, it is well known that delta form is effective in fast sampling digital signal processing. In order to make delta operation effective in fixed-point arithmetic, we proposed modified delta form named variable modulation method (VMM). In this paper, round-off noise of conventional delta form and modified delta form are compared on first-order system. Stochastic analysis of round-off noise has showed that modified delta form or VMM can drastically reduce round-off noise comparing from conventional delta form. © 2007 American Institute of Physics [ABSTRACT FROM AUTHOR]

In Simsek's paper it was introduced a concept of soft cone metric space via soft elements and some fixed point theorems in soft cone metric space were provided. In this work, we examine topological structures such as open ball, soft neighbourhood and soft open set in soft metric spaces and their some properties, and prove that every soft cone metric space under some condition is a soft topological space according to elementary operations on soft sets. [ABSTRACT FROM AUTHOR]

In this paper, first we prove a common fixed point theorem for a pair of weakly compatible maps in complex valued metric spaces. Secondly, we prove common fixed point theorem for a pair of weakly compatible maps along with (CLRg) property. At the end, we prove common fixed point theorem for a pair of weakly compatible maps along with E. A. property. [ABSTRACT FROM AUTHOR]

The main objective of this paper is to establish a common fixed point result for ten mappings satisfying a weaker condition, has been obtained. Our main result generalizes various previously known results such as Kannan, Fisher, Hardy & Rogers and Pande & Dubey. [ABSTRACT FROM AUTHOR]

In 2011, Lennard and Nezir showed that very large class of closed bounded convex sets in c0 fails the fixed point property for affine nonexpansive mappings respect to c0's usual norm since they proved that closed convex hull of any asymptotically isometric (ai) c0-summing basis fails the fixed point property for nonexpansive mappings and in fact their class is one of these. Then, Nezir recently worked on these sets and constructed several equivalent norms. In one of his works, he defined the equivalent norm ΙΙΙ·ΙΙΙ on c0 by ... for all x ∈ c0. Then, he studied a subclass of the class S below introduced by Lennard and Nezir and showed that it has the fixed point property for affine ΙΙΙ·ΙΙΙ-nonexpansive mappings for some α > 1 when Q1 > 1-γ1+ΙαΙ/1+2ΙαΙ ... In this paper, we will show that the below larger class G given by Lennard and Nezir that contains S has the fixed point property for affine ΙΙΙ·ΙΙΙ-nonexpansive mappings for all α > 1 when Q1 > 1-γ1+ΙαΙ/1+2ΙαΙ ... Moreover and most importantly, we generalize our results for the closed convex hull of the sequence ηη = γη (b1e1 + b2e2 + ... + bnen) when 0 < bn and 0 γn are arbitrarily choosen. [ABSTRACT FROM AUTHOR]

The fixed point theorem on weak contraction mapping in partially ordered quasi metric space was presented in previous work. This theorem has provided generalization results from fixed point on weakly contractive that uses altering distance function. In this paper, we prove a common fixed point of contraction mapping on partially ordered quasi metric space. As a comparison, we also present the shorter proof of this theorem. [ABSTRACT FROM AUTHOR]

In this article, we consider the boundary value problem u(5)(t) + f (t, u(t)) = 0, 0 < t < 1, subject to the boundary conditions u(0) = u'(0) = u''(0) = u'''(0) = 0 and u'''(1). αu'''(η) = λ. In the setting, 0 < η < 1 and α ∈, [0, 1 η) are constants and λ ∈, [0, ∞) is parameter. By placing certain restrictions on the nonlinear term f, we prove the existence and nonexistence of at least one positive solution to the boundary value problem with the use of the Krasnosel'skii fixed point theorem. The novelty in our setting lies in the fact that f (t, u) may be singular at t = 0 and t = 1. We conclude with examples illustrating our results obtained in this paper. [ABSTRACT FROM AUTHOR]

The collage method for inverse problems has become well-established in the literature in recent years. Initial work developed a collage theorem, based upon Banach's fixed point theorem, for treating inverse problems for ordinary differential equations (ODEs). Amongst the subsequent work was a generalized collage theorem, based upon the Lax-Milgram representation theorem, useful for treating inverse problems for elliptic partial differential equations (PDEs). Each of these two different approaches can be applied to elliptic PDEs in one space dimension. In this paper, we explore and compare how the two different approaches perform for the estimation of the diffusivity for a steady-state heat equation. [ABSTRACT FROM AUTHOR]

The fractals literature develops the now well-known concept of local iterated function systems (using affine maps) with grey-level maps (LIFSM) as an approach to function representation in terms of the associated fixed point of the so-called fractal transform. While originally explored as a method to achieve signal (and 2-D image) compression, more recent work has explored various aspects of signal and image processing using this machinery. In this paper, we develop a similar framework for function representation using circle inversion map systems. Given a circle C with centre õ and radius r, inversion with respect to C transforms the point p to the point p′ such that p and p′ lie on the same radial half-line from õ and d(õ,p)d(õ; p′) = r², where d is Euclidean distance. We demonstrate the results with an example. [ABSTRACT FROM AUTHOR]