Weak convergence theorem for monotone mappings and a countable family of nonexpansive mappings

Journal article

Authors/Editors

Strategic Research Themes

No matching items found.

Publication Details

Author list: Plubtieng S., Kumam P.

Publisher: Elsevier

Publication year: 2009

Journal: Journal of Computational and Applied Mathematics (0377-0427)

Volume number: 224

Issue number: 2

Start page: 614

End page: 621

Number of pages: 8

ISSN: 0377-0427

eISSN: 1879-1778

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-58149494238&doi=10.1016%2fj.cam.2008.05.045&partnerID=40&md5=2dd848c79249f02bf5a82b446855ca78

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 introduce an iterative process for finding the common element of the set of common fixed points of a countable family of nonexpansive mappings and the set of solutions of the variational inequality problem for an α-inverse-strongly-monotone mapping. We obtain a weak convergence theorem for a sequence generated by this process. Moreover, we apply our result to the problem for finding a common element of the set of equilibrium problems and the set of solutions of the variational inequality problem of a monotone mapping. © 2008 Elsevier B.V. All rights reserved.

Keywords

accretive operator, Fixed point problem