Existence and convergence of fixed points for mappings of asymptotically nonexpansive type in uniformly convex W-hyperbolic spaces
type: Item
instance of: scholarly article
title: Existence and convergence of fixed points for mappings of asymptotically nonexpansive type in uniformly convex W-hyperbolic spaces
zbMATH Open document ID: 1315.47077
DOI: 10.1186/1687-1812-2011-39
author: Jingxin Zhang
author: Yunan Cui
published in: Fixed Point Theory and Applications
publication date: 2013-08-21T00:00:00Z
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47H09
zbMATH DE Number: 6200291
zbMATH Keywords: asymptotically nonexpansive type
zbMATH Keywords: fixed points \(\Delta\)-convergence
zbMATH Keywords: uniformly convex \(W\)-hyperbolic spaces
zbMATH Keywords: CAT(0) spaces
zbMATH Keywords: Krasnoselskij-Mann iteration
Wikidata QID: Q59269236
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1186/1687-1812-2011-39
OpenAlex ID: W2120519026
cites work: A Fixed Point Theorem for Asymptotically Nonexpansive Mappings
cites work: Fixed point theorems for non-Lipschitzian mappings of asymptotically nonexpansive type
cites work: Convergence of iterates of asymptotically nonexpansive mappings in Banach spaces with the uniform Opial property
cites work: Existence and convergence for fixed points of mappings of asymptotically nonexpansive type
cites work: A mean ergodic theorem for mappings which are asymptotically nonexpansive in the intermediate sense.
cites work: The equivalence between the convergences of Ishikawa and Mann iterations for an asymptotically nonexpansive in the intermediate sense and strongly successively pseudocontractive maps.
cites work: Remarks on Some Fixed Point Theorems
cites work: A concept of convergence in geodesic spaces
cites work: On \(\Delta\)-convergence theorems in CAT\((0)\) spaces
cites work: Q5748232
cites work: Strong and \(\Delta\) convergence theorems for multivalued mappings in CAT(0) spaces
cites work: Fixed point theorems and convergence theorems for Suzuki-generalized nonexpansive mappings in CAT(0) spaces
cites work: Some logical metatheorems with applications in functional analysis
cites work: Q4720067
cites work: Krasnoselskii's iteration process in hyperbolic space
cites work: Iteration processes for nonexpansive mappings
cites work: Nonexpansive iterations in hyperbolic spaces
cites work: A convexity in metric space and nonexpansive mappings. I.
cites work: Some fixed point theorems in metric spaces
cites work: Applied Proof Theory: Proof Interpretations and Their Use in Mathematics
cites work: Q3322631
cites work: Reductive groups over a local field
cites work: A quadratic rate of asymptotic regularity for CAT(0)-spaces
cites work: Asymptotically nonexpansive mappings in uniformly convex hyperbolic spaces
cites work: Zum Prinzip der kontraktiven Abbildung
cites work: Fixed points of uniformly Lipschitzian mappings
cites work: Q3442330
cites work: Demiclosed principle for asymptotically nonexpansive mappings in CAT(0) spaces
cites work: Iterative construction of fixed points of asymptotically nonexpansive mappings
description: scientific article; zbMATH DE number 6200291