[PDF] Top 20 Hybrid Iteration Method for Fixed Points of Nonexpansive Mappings in Arbitrary Banach Spaces

... It is our purpose in this paper to extend Lemma 1.1 and Theorem 1.2 from Hilbert spaces to arbitrary Banach spaces. Our results are much more general and applicable than the results of Wang ... See full document

... approximating fixed points of nonexpansive mappings and asymptot- ically nonexpansive mappings have been studied by various authors; see, ...explicit hybrid ... See full document

... approximating fixed points of nonexpansive mappings have been studied by various authors (see, ...explicit hybrid iteration method for nonexpansive mappings ... See full document

... an η-strongly monotone and k-Lipschitzian mapping, μ is a positive fixed constant. In the same year, Osilike et al. [] extended the results of Wang from Hilbert spaces to arbitrary Banach ... See full document

... composite hybrid iteration method is investigated for approximating fixed points of asymptotically nonexpansive ...in arbitrary Ba- nach ...iterative method for ... See full document

... of mappings (1.6)- (1.7) and prove a couple of fixed point theorems under a generalized contraction condition with a different method which in turn generalize fixed point theorems of Bose and ... See full document

... convex Banach space with the Fr´echet differentiable norm ...Mann iteration algorithm has only weak convergence, in general, even for nonexpansive ...Mann’s iteration process to have strong ... See full document

... Mann’s iteration in hybrid method for asymptotically nonexpansive mappings in Hilbert ...asymptotically nonexpansive mapping. We also introduce a new hybrid iterative ... See full document

... The purpose of this paper is to characterize conditions for the convergence of the iterative scheme in the sense of Agarwal et al. [] associated with nonexpansive and φ-hemicontractive mappings in a ... See full document

... It is to be noted that Song and Wang [7] need the condition Tp = {p} in order to prove their Theorem 1. Actually, Panyanak [6] proved some results using Ishikawa type iteration process without this condition. Song ... See full document

... a hybrid projection method and a hybrid shrinking projection method for firmly nonexpansive-like mappings mappings of type P in a Banach ...of mappings 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

... introduce hybrid projection algorithms for finding a common element of the set of common fixed points of a countable family of relatively nonexpansive mappings and the set of solutions ... See full document

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

... an iteration process for approximating common …xed points of two nonself asymptotically nonexpansive mappings in Banach ...Mann iteration process and some other processes for ... See full document

... of mappings (1.6)-(1.7) and prove a couple of fixed point theorems under generalized contraction condition with a different method which in turn generalize fixed point theorem Bose and ... 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

... 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

... Lemma 2.3 [15]. Let H be a Hilbert space, C be a closed convex subset of H, and T : C ® H be a k-strictly pseudo-contractive mapping. Define a mapping S : C ® H by Sx = lx + (1 - l) Tx for all x Î C. Then, as l Î [k, 1), ... See full document

... converges strongly that it converges weakly. Such properties have a direct impact when the process is executed directly in the underlying infinite dimensional space. To improve the weak convergence of Krasnoselski-Mann ... See full document