[PDF] Top 20 Fixed points of multivalued nonexpansive mappings in Banach spaces

... It is known that a weakly compact convex subsets of a Banach space and closed con- vex subsets of a uniformly convex Banach space are proximinal. We shall denote the family of nonempty bounded proximinal ... See full document

... tively nonexpansive mappings in reflexive Banach space and give an example to illustrate the existence of weak Bregman relatively nonexpansive mapping and the difference between weak Bregman ... See full document

... for fixed points of sequence for multivalued nonexpansive mappings and a zero of maximal monotone operator in Banach spaces by using the hybrid projection ... See full document

... of fixed points of nonexpansive mappings using a hybrid iteration method in Hilbert spaces can be extended to arbitrary Banach spaces without the strong monotonicity ... See full document

... on mappings, which is weaker than non- expansiveness and stronger than quasi-nonexpansivemess and called it condition ...interesting fixed point theorems and convergence theorems for such mappings in ... See full document

... Throughout the present paper, every linear space is real. We denote the set of positive integers by N. Let E be a Banach space with norm · . Then the dual space of E is denoted by E ∗ . The norm of E ∗ is also ... See full document

... metric spaces without linear structure has played a vital role in various branches of pure and applied ...particular, fixed point theorems in CAT (0) spaces for non- expansive single valued, as well ... See full document

... real Banach space and let C be a nonempty closed convex subset of ...called nonexpansive if T x − T y ≤ x − y for all x,y ∈ ...λ-firmly nonexpansive if there exists λ ∈ (0,1) such ... See full document

... , Banach proved a remarkable and powerful result called the Banach contraction ...in Banach spaces endowed with a ...the Banach contraction principle to mappings on a metric ... See full document

... a fixed point of T provided Tx x. Denote by FT the set of fixed points of T , that is, FT {x ∈ C : Tx ...is nonexpansive if Tx − Ty ≤ x − y, for all x, y ∈ ... See full document

... a Banach space (X, k · k), and let T : K → K be a nonexpansive mapping or a generalized nonexpansive ...a fixed point for T has been investigated, and some fixed point theorems and ... See full document

... a fixed point theorem for the selfmaps of a closed convex and bounded subset of the Banach space satisfying a generalized nonexpansive type ...of fixed points with Krasnoselskii and ... See full document

... Theorem 2.2: Let C be a non empty , closed , convex and bounded subset of a banach space X. If f: CC satisfies the inequalities (2.2) and (2.3) with a>0,b>0 then f has a unique fixed point. Proof: ... See full document

... type mappings was discovered by Garcia-Falset et ...a Banach space with compact faces always has an end- ...(SL)-type mappings and proved that every (SL)-type mapping on a weakly compact convex ... See full document

... of fixed points for contractive-type and nonexpansive-type multivalued maps in the setting of modular function ...prove fixed point results for weakly-modular contractive maps in ... See full document

... pansive mappings in Banach spaces without assuming any of the following conditions: i E satisfies the Opial’s condition; ii T is asymptotically regular or weakly asymptotically regular; iii K is ... See full document

... fixed points for multivalued nonexpansive mappings in uniformly convex Banach spaces was proved by Lim ...of multivalued nonexpansive mappings is harder than ... See full document

... approximating fixed points of nonexpansive mappings in Banach spaces have been studied by various authors using the Mann iteration processes or the Ishikawa ietration ...of ... See full document

... reflexive Banach space E, let T be a mapping from C into itself, and let F(T) be the set of all fixed points of ...asymptotic fixed point of T (see Reich [23]) if there exists a sequence { z n ... See full document

... common fixed points for a commuting pair consisting of a single-valued and a multivalued mapping both satisfying the Suzuki condition in a uniformly convex Banach ...a fixed point ... See full document