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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]