Convergence of iterative sequences for fixed points of an infinite family of nonexpansive mappings based on a hybrid steepest descent methods

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Publication Details

Author list: Onjai-Uea N., Jaiboon C., Kumam P., Humphries U.W.

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-s2.0-84870418676&doi=10.1186%2f1029-242X-2012-101&partnerID=40&md5=986a807c26bf6dd42fa92009ac12c6f1

Languages: English-Great Britain (EN-GB)

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Abstract

The propose of this article is to consider the strong convergence of an iterative sequences for finding a common element of the set of fixed points of an infinite family of nonexpansive mappings, the set of solutions of the variational inequalities for inverse strongly monotone mappings, and the set of solutions of system of equilibrium problems in Hilbert spaces by using a hybrid steepest descent methods. Our results improve and generalize many known corresponding results. ฉ 2012 Onjai-uea et al.

Keywords

Hybrid steepest descent method, Nonexpansive mappings, System equilibrium problem