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

Safeer H Khan; Hukmi Kiziltunc; Yunus Purtas

doi:10.15352/afa/06-1-18

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

Safeer H Khan
, Hukmi Kiziltunc
, Yunus Purtas

Mathematics and Statistics

Department of Mathematics, Statistics and Physics, College of Arts and Sciences, Qatar University
Ataturk University
Celal Bayar University

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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.

Original language	English
Pages (from-to)	235-248
Number of pages	14
Journal	Annals of Functional Analysis
Volume	6
Issue number	1
DOIs	https://doi.org/10.15352/afa/06-1-18
State	Published - Jan 1 2015

Keywords

Common fixed point
Nonself total asymptotically
Strong and weak convergence
Uniformly convex Banach spaces

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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.",

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N2 - 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.

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KW - Nonself total asymptotically

KW - Strong and weak convergence

KW - Uniformly convex Banach spaces

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

Abstract

Keywords

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