Convergence theorems for finding zero points of maximal monotone operators and equilibrium problems in banach spaces

Journal article

Authors/Editors

POOM KUMAM

Strategic Research Themes

No matching items found.

Publication Details

Author list: Saewan S., Kumam P., Cho. Y.J.

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-s2.0-84894541479&doi=10.1186%2f1029-242X-2013-247&partnerID=40&md5=519bfa579e27efe5848a0c1d29aad013

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 construct a new hybrid projection method for approximating a common element of the set of zeroes of a finite family of maximal monotone operators and the set of common solutions to a system of generalized equilibrium problems in a uniformly smooth and strictly convex Banach space. We prove strong convergence theorems of the algorithm to a common element of these two sets. As application, we also apply our results to find common solutions of variational inequalities and zeroes of maximal monotone operators. ฉ 2013 Saewan et al.; licensee Springer.

Keywords

System of generalized equilibrium problems