Multi-valued contraction mappings
Web9 iul. 2024 · Combining certain existing concepts we define a new multi-valued contraction with respect to w-distance. The underline metric space is assumed to have a relation defined on it. We prove the existence of non-null fixed point sets for these mappings under appropriate assumptions. The uniqueness of the fixed point is proved separately under … WebLet T : X →2X be a multi-valued mapping. We say that x ∈X is a fixed point ofT if x ∈Tx. 2024 Mathematics Subject Classification. ... Fixed point theory for set-valued quasi-contraction maps ...
Multi-valued contraction mappings
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WebAn initial result in the theory of start-point was given in [ 1] in order to extend the idea of fixed points for multi-valued mappings defined on quasi-pseudo metric spaces. A series of … WebMulti-valued contraction mappings. S. Nadler Published 1 August 1969 Mathematics Pacific Journal of Mathematics View via Publisher msp.org Save to Library Create Alert Cite 2,209 Citations Citation Type More Filters Nonlinear integral inclusions of Hammerstein …
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 … 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 ...
WebMulti-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
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. …
WebSome 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. Mathematical Subject … bog sherpaWebThe 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 conditions in the setting of complete metric spaces. In application, we apply our fixed-point theorem to prove the existence theorem for Fredholm integral inclusions ϖ ( t ) ∈ f ( t ) + ∫ 0 1 K … globoplay assineWebContinuous Selections of Multivalued Mappings - D. Repovs 2013-04-17 This book is dedicated to the theory of continuous selections of multi valued mappings, a classical area of mathematics (as far as the formulation of its fundamental problems and methods of solutions are concerned) as globoplay assistir agora ao vivoWeb12 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 … globo play assistir globoWeb1 ian. 2012 · In this paper, we introduce the notion of a hybrid generalized multi-valued contraction mapping and establish the common fixed point theorem for this mapping. … globoplay assinatura vivoWebIn 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 … globoplay assistir agoraWeb19 sept. 2024 · The aim of this paper is to prove some fixed point theorems for multivalued maps satisfying different inequalities based on Wardowski’s technique in complete … globoplay assistir copa