Strong convergence theorems for fixed points of asymptotically nonexpansive semigroups in Banach spaces

Journal article

Authors/Editors

POOM KUMAM

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Publication Details

Author list: Piri H., Kumam P.

Publisher: SpringerOpen

Publication year: 2014

Journal: Fixed Point Theory and Applications (1687-1820)

Volume number: 2014

Issue number: 1

ISSN: 1687-1820

eISSN: 1687-1812

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84935852357&doi=10.1186%2f1687-1812-2014-225&partnerID=40&md5=4eb862e8155de9b4dfc8e9e474e906a2

Languages: English-Great Britain (EN-GB)

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Abstract

The purpose of this paper is to study the viscosity iterative schemes for approximating a fixed point of an asymptotically nonexpansive semigroup on a compact convex subset of a smooth Banach space with respect to a sequence [InlineEquation not available: see fulltext.] of strongly asymptotic invariant means defined on an appropriate space of bounded real valued functions of the semigroup. Our results extend and improve the result announced by Lau et al. (Nonlinear Anal. 67(4):1211-1225, 2007) and many others. ฉ 2014, Piri and Kumam; licensee Springer.

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