Explicit iterations for Lipschitzian semigroups with the Meir-Keeler type contraction in Banach spaces

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Publication Details

Author list: Saewan S., Kumam P.

Publisher: SpringerOpen

Publication year: 2012

Journal: Journal of Inequalities and Applications (1025-5834)

Volume number: 2012

ISSN: 1025-5834

eISSN: 1029-242X

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84890056162&doi=10.1186%2f1029-242X-2012-279&partnerID=40&md5=41a1424bc660002847f483db10fd677f

Languages: English-Great Britain (EN-GB)

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Abstract

In this paper, we introduce and prove strong convergence theorems for a new viscosity iteration scheme for approximating common fixed points of a Lipschitzian semigroup on a compact and convex subset of a smooth Banach space. Our results extend and improve recent results. ฉ 2012 Saewan and Kumam; licensee Springer.

Keywords

Lipschitzian mapping, Meir-Keeler type mapping, Viscosity approximation method