Multi-valued contraction mappings

Author: whdk

August undefined, 2024

WebAbstract. Several fixed point theorems for multi-valued global and local contraction mappings are proved. These results concerning contractions are then applied to obtain a … WebIn this paper, we introduce the notion of (?,F)-contractive multi-valued mappings in the setting of uniform spaces. Some fixed point and common fixed point theorems for (?,F)-contractive mappings endowed with the uniform spaces are established. The existence and uniqueness of fixed points by using the structure of uniform spaces is discussed in detail. …

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Web24 iul. 2014 · Abstract. We mainly study fixed point theorem for multivalued mappings with -distance using Wardowski’s technique on complete metric space.Let be a metric space and let be a family of all nonempty bounded subsets of .Define by Considering -distance, it is proved that if is a complete metric space and is a multivalued certain … Web1 mai 2006 · Our results are extensions of the well-known Nadler's fixed point theorem [S.B. Nadler Jr., Multi-valued contraction mappings, Pacific J. Math. 30 (1969) 475–487], as well as of some Caristi ... alita al-80

Common Fixed Point Theorems for Two Mappings in Complete

Web13 mai 2024 · Abstract. We introduce some generalizations of contractions for multi-valued mappings and establish some fixed point theorems for multi-valued mappings in b … WebA generalization of set-valued Prešić–Reich type contractions in ultrametric spaces with applications . × Close Log In. Log in with Facebook Log in with Google. or. Email. Password. Remember me on this computer. or reset password. Enter the email address you signed up with and we'll email you a reset link. Need an account? ... WebThe fixed point results proved are subjected to contraction conditions corresponding to the multivalued counterpart of F-contraction and F-weak contraction in \mathrm{R}-metric space. The main results unify, extend and generalize the results on multivalued and single-valued mapping in the literature. alita al-200

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FIXED POINTS OF GENERALIZED MULTI-VALUED CONTRACTIVE …

WebF is called a multi-valued contraction mapping (abbreviated m.v.c.m.). A m.v.l.m. is continuous. A point x is said to be a fixed point of a single-valued mapping / (multi-valued … Web28 mar. 2024 · The aim of this paper is to prove the existence and uniqueness of a common fixed point for a pair of mappings satisfying certain rational contraction conditions in complex valued b -metric space. alita al 60Web1 oct. 2009 · Multi-valued nonlinear contraction mappings 1. Introduction Let be a metric space and be the set of all nonempty closed bounded subsets of . Let … alita ameneyro

"Web10 apr. 2012 · A multivalued mapping is said to be a multivalued -contraction if there exists such that for all and . In this case, the least number which satisfies the inequality is said to be the contraction constant. Remark 3.2. For a sequence in , it is obvious that, if and is a multivalued -contraction on , then . Theorem 3.3. " - Multi-valued contraction mappings

Multi-valued contraction mappings

A new iterative method for approximating common fixed points

Web2 sept. 2024 · We present the concept of -contractive multivalued mappings in -metric spaces and prove some fixed point results for these mappings in this study. Our … WebEnter the email address you signed up with and we'll email you a reset link.

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WebIn 2012, Samet et al. introduced the notion of α - ψ -contractive mapping and gave sufficient conditions for the existence of fixed points for this class of mappings. The purpose of our paper is to study the existence of fixed points for multivalued mappings, under an α - ψ -contractive condition of Ćirić type, in the setting of complete b-metric … Web25 mai 2024 · In this paper, we specified a method that generalizes a number of fixed point results for single and multi-valued mappings in the structure of extended b-metric spaces. Our results extend several existing ones including the results of Aleksic et al. for single-valued mappings and the results of Nadler and Miculescu et al. for multi-valued …

Web10 nov. 2024 · Common fixed points of fuzzy set-valued contractive mappings on metric spaces with a directed graph. Muhammad Rafique 1 , , , Talat Nazir 2,3 , Mujahid Abbas 4,5. 1. Department of Mathematics, COMSATS University Islamabad, Chak Shahzad, 44000 Islamabad, Pakistan. 2. Department of Mathematics, Huanghuai University, Zhumadian, … http://jnva.biemdas.com/issues/JNVA2024-1-7.pdf

Web9 sept. 2008 · In this paper, the concept of multi-valued weak contraction of Berinde and Berinde [8] for the Picard iteration in a complete metric space is extended to the case of multi-valued weak contraction for the Jungck iteration in a complete b-metric space.While our main results generalize the recent results of Berinde and Berinde [8], they also … Web27 mar. 2024 · In this paper, we present some generalized multi-valued contraction results on cone metric spaces. We use some maximum and sum types of contractions …

Web16 iun. 2024 · For this purpose, Ciric type contraction for single-valued mapping and Nadler’s type Banach and Chatterjea contractions for set-valued mappings are applied to obtain fixed point and common fixed points. A simple and different technique has been used to obtain the results. Our results unify, extend and generalize the existence of …

Web12 oct. 2024 · The main purpose of this paper is to generalize, improve and complement several famous results in b-metric spaces. Moreover, an essential estimation of b-quasi-contraction in b-metric spaces is given. We also establish some new results for multi-valued mappings in the metric and b-metric concept. We explore some different proof … alita amazon primeWebSome fixed point theorems for multi-valued contraction mappings are proved, as well as a theorem on the behaviour of fixed points as the mappings vary. In § 1 of this paper … alita allocinéWebThe purpose of this article is to define almost ( α , F σ ) -contractions and establish some generalized fixed-point results for a new class of contractive … alita altadefinizioneWebMulti-valued nonlinear contraction mappings, Nonlinear Anal., 71(2009), 2716-2723]. Key Words and Phrases: Fixed point, multi-valued mapping, metric space. 2010 Mathematics Subject Classi cation: 47H10, 54H25. 1. Introduction and preliminaries Let (X;d) be a metric space. We consider the following families of sets alita amazonWebNadler extended the contraction mapping principle from the single-valued mappings to the multi-valued mappings. Precisely, Nadler proved the following theorem. Theorem 1.1. Let (X,d) be a complete metric space and let T: X → CB(X) be a multi-valued mapping satisfying H(Tx,Ty) ≤ kd(x,y), (1) alita ameneyro - state farm insurance agentWebF is called a multi-valued contraction mapping (abbreviated m.v.c.m.). A m.v.l.m. is continuous. A point x is said to be a fixed point of a single-valued mapping / (multi-valued … alita andriaWebIn this study, we introduce a new notion, so-called KW-type F-contraction mapping, inspired by the ideas of Wardowski and Klim–Wardowski. Then, we investigate … alita and hugo pinterest