Some convergence theorems for total asymptotically nonexpansive mappings in Banach spaces

Shih sen Chang, Heung Wing Joseph Lee, Chi Kin Chan

Research output: Journal article publicationJournal articleAcademic researchpeer-review

Abstract

The purpose of this paper is to establish some new approximation theorems of common fixed points for a countable family of total asymptotically quasi-nonexpansive mappings in Banach spaces which generalize and improve the corresponding theorems of Chidume et al. [J. Math. Anal. Appl. 333 (2007), 128-141], [J. Math. Anal. Appl. 326 (2007), 960-973], [Internat. J. Math. Math. Sci. 2009, Article ID 615107, 17 pp.] and others.
Original languageEnglish
Pages (from-to)1073-1084
Number of pages12
JournalMathematica Slovaca
Volume63
Issue number5
DOIs
Publication statusPublished - 1 Oct 2013

Keywords

  • asymptotically nonexpansive in the intermediate sense
  • asymptotically nonexpansive mapping
  • asymptotically quasi-nonexpansive mapping
  • total asymptotically nonexpansive mapping
  • total symptotically quasi-nonexpansive mapping

ASJC Scopus subject areas

  • Mathematics(all)

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