Approximating a common fixed point of finite family of asymptotically quasi-nonexpansive mappings in Banach spaces

Sebsibe Teferi Woldeamanuel; Mengistu Goa Sangago; Habtu Zegeye Hailu

doi:10.1007/s13370-016-0390-7

Approximating a common fixed point of finite family of asymptotically quasi-nonexpansive mappings in Banach spaces

Sebsibe Teferi Woldeamanuel
, Mengistu Goa Sangago
, Habtu Zegeye Hailu

Mathematics & Statistical Sciences

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

2 Citations (Scopus)

Abstract

The purpose of this paper is to prove convergence of a one-step iterative algorithm to approximate a common fixed point of finite family of asymptotically quasi-nonexpansive mappings in a uniformly convex Banach space by assuming some control conditions on the parameters. Our results extend and improve the corresponding results in the literature.

Original language	English
Pages (from-to)	949-961
Number of pages	13
Journal	Afrika Matematika
Volume	27
Issue number	5-6
DOIs	https://doi.org/10.1007/s13370-016-0390-7
Publication status	Published - Sept 1 2016

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1007/s13370-016-0390-7

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N2 - The purpose of this paper is to prove convergence of a one-step iterative algorithm to approximate a common fixed point of finite family of asymptotically quasi-nonexpansive mappings in a uniformly convex Banach space by assuming some control conditions on the parameters. Our results extend and improve the corresponding results in the literature.

AB - The purpose of this paper is to prove convergence of a one-step iterative algorithm to approximate a common fixed point of finite family of asymptotically quasi-nonexpansive mappings in a uniformly convex Banach space by assuming some control conditions on the parameters. Our results extend and improve the corresponding results in the literature.

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Approximating a common fixed point of finite family of asymptotically quasi-nonexpansive mappings in Banach spaces

Abstract

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