Approximating fixed points for a reversible semigroup of Lipschitzian mappings in a smooth Banach space

Journal article

Authors/Editors

Strategic Research Themes

No matching items found.

Publication Details

Author list: Piri H., Kumam P.

Publisher: SpringerOpen

Publication year: 2013

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

Volume number: 2013

ISSN: 1025-5834

eISSN: 1029-242X

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84897616617&doi=10.1186%2f1029-242X-2013-555&partnerID=40&md5=2d2495b19bfc6a30c991713d86d56e3f

Languages: English-Great Britain (EN-GB)

View in Web of Science | View on publisher site | View citing articles in Web of Science

Abstract

In this paper, we approximate a fixed point of the semigroup φ = {Ts : s ∈ S} of Lipschitzian mappings from a nonempty compact convex subset C of a smooth Banach space E into C with a uniform Lipschitzian condition and with respect to a finite family of sequences {μi,n} i=1,n=1m, ∞ of left strong regular invariant means defined on an appropriate invariant subspace of l∞ (S). Our result extends the main results announced by several others. ©2013 Piri and Kumam; licensee Springer.

Keywords

Asymptotically nonexpansive semigroup, Invariant mean, Reversible semigroup, Smooth Banach space