On an iteration process for common fixed points of nonself total asymptotically nonexpansive mappings in banach spaces

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Khan S. H., Kiziltunc H., Purtas Y.

Annals of Functional Analysis, vol.6, no.1, pp.235-248, 2015 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 6 Issue: 1
  • Publication Date: 2015
  • Doi Number: 10.15352/afa/06-1-18
  • Journal Name: Annals of Functional Analysis
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.235-248
  • Keywords: Nonself total asymptotically, strong and weak convergence, common fixed point, uniformly convex Banach spaces
  • Open Archive Collection: AVESIS Open Access Collection
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

In this paper, we prove some weak and strong convergence results for a generalized three-step-three-mappings iteration scheme using a more satisfactory definition of nonself mappings. Our results approximate common fixed points of three nonself total asymptotically nonexpansive mappings in a uniformly convex Banach space.