Fixed point theorems and iterative approximations for monotone nonexpansive mappings in ordered Banach spaces
type: Item
instance of: scholarly article
title: Fixed point theorems and iterative approximations for monotone nonexpansive mappings in ordered Banach spaces
author: Yisheng Song
author: Poom Kumam
author: Yeol Je Cho
published in: Fixed Point Theory and Applications
publication date: 2016-08-09T00:00:00Z
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 47J26
Mathematics Subject Classification ID: 47H07
Mathematics Subject Classification ID: 47H09
zbMATH DE Number: 6610395
zbMATH Keywords: ordered Banach space
zbMATH Keywords: fixed point
zbMATH Keywords: monotone nonexpansive mapping
zbMATH Keywords: \(\lambda\)-hybrid mapping
zbMATH Keywords: Mann iterative scheme
zbMATH Keywords: weak convergence
MaRDI profile type: Publication
full work available at URL: s13663-016-0563-y
OpenAlex ID: W2469615143
Wikidata QID: Q59306881
cites work: Q3586233
cites work: Fixed point theorem for \(\alpha \)-nonexpansive mappings in Banach spaces
cites work: On common approximate fixed points of monotone nonexpansive semigroups in Banach spaces
cites work: Mean Value Methods in Iteration
cites work: Iterative approaches to common fixed points of nonexpansive mappings in Banach spaces
cites work: Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces
cites work: Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Bochner integrals
cites work: Fixed point property and approximation of a class of nonexpansive mappings
cites work: Strong convergence for the modified Mann's iteration of \(\lambda-\)strict pseudocontraction
cites work: WEAK AND STRONG CONVERGENCE OF MANN'S-TYPE ITERATIONS FOR A COUNTABLE FAMILY OF NONEXPANSIVE MAPPINGS
cites work: Strong convergence theorems for nonexpansive semigroup in Banach spaces
cites work: Weak convergence of the sequence of successive approximations for nonexpansive mappings
cites work: Convergence theorems for \(\lambda \)-strict pseudo-contractions in 2-uniformly smooth Banach spaces
cites work: Convergence theorems for strict pseudo-contractions in \(q\)-uniformly smooth Banach spaces
cites work: Mann iteration process for monotone nonexpansive mappings
cites work: Inequalities in Banach spaces with applications
cites work: Nonlinear functional analysis. Fixed point theory and its applications
DOI: 10.1186/S13663-016-0563-Y
description: scientific article; zbMATH DE number 6610395