Iterative algorithm and \(\Delta\)-convergence theorems for total asymptotically nonexpansive mappings in CAT(0) spaces
type: Item
instance of: scholarly article
title: Iterative algorithm and \(\Delta\)-convergence theorems for total asymptotically nonexpansive mappings in CAT(0) spaces
zbMATH Open document ID: 1253.65089
DOI: 10.1155/2012/965751
author: Chi Kin Chan
author: Jinfang Tang
author: Shihsen Chang
author: H. W. Joseph Lee
published in: Abstract and Applied Analysis
publication date: 2012-12-18T00:00:00Z
review text: Summary: The main purpose of this paper is first to introduce the concept of total asymptotically nonexpansive mappings and to prove a \(\Delta\)-convergence theorem for finding a common fixed point of the total asymptotically nonexpansive mappings and the asymptotically nonexpansive mappings. The demiclosed principle for this kind of mappings in CAT(0) space is also proved in the paper. Our results extend and improve many results in the literature.
Mathematics Subject Classification ID: 65J15
Mathematics Subject Classification ID: 54H25
zbMATH DE Number: 6116483
zbMATH Keywords: \(\Delta\)-convergence theorems
zbMATH Keywords: total asymptotically nonexpansive mappings
zbMATH Keywords: CAT(0) spaces
Wikidata QID: Q58697202
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/965751
OpenAlex ID: W2142048587
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description: scientific article; zbMATH DE number 6116483