[PDF] Top 20 Fixed Points Of Generalised Nonexpansive Mappings In Banach Spaces

... 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

... of fixed points for multivalued contractions and nonexpansive mappings using the Hausdorff metric was initiated by Markin [2] (see also ...rich fixed point theory for such maps was ... 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

... 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

... Motivated and inspired by Xu [36], Kimura and Nakajo [16], we introduce a new hybrid projection algorithm for finding a common element of the solutions set of a generalized mixed equilibrium problem and the fixed ... 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

... reflexive Banach space which has the Kadec- Klee property and A : E → 2 E ∗ a monotone operator such that there exists a nonempty closed convex subset C of E satisfying DA ⊂ C ⊂ RI J −1 ... 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

... Lipschitzian mappings on C with Lipschitz constants {ks : s ∈ ...asymptotically nonexpansive semigroup on C, if there holds the uniform Lipschitzian condition lim s ks ≤ 1 on the Lipschitz ... See full document

... called nonexpansive if Tx − T y ≤ x − y for all x, y ∈ K; and is called quasi-nonexpansive if F (T ) = ∅ and Tx − x ∗ ≤ x − x ∗ for all x ∈ K and x ∗ ∈ F(T ...a nonexpansive mapping with a nonempty ... See full document

... nonempty bounded, closed and convex subset of a uniformly convex Banach space has been recently established by Aoyama and Kohsaka with a non-constructive argument. In this paper, we show that appropriate Ishikawa ... See full document

... called nonexpansive if kT x − T yk 6 kx − yk for all x, y ∈ ...the fixed points set of T , ...its fixed points set is nonempty and kT x − uk 6 kx − uk for all x ∈ K and u ∈ F (T ... 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

... [7] Z. Opial, Weak convergence of the sequence of successive approximations for nonexpansive mappings, Bull. Amer. Math. Soc. 73 (1967), 591–597. MR 35#2183. Zbl 179.19902. [8] J. Schu, Weak and strong ... 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 of a family of generalized asymptotically quasi- j -nonexpansive mappings are established in the framework of Banach ... See full document

... of Banach limits, we discuss the characterization of fixed points of non- expansive mappings in Banach ...of fixed points of a nonexpansive mapping and some mapping ... See full document

... of fixed points by doubly Mann iteration process began by Moore see ...some fixed point theorems for some different classes of ...smooth Banach spaces: one for nonexpansive ... 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

... 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