Generalized systems of variational inequalities and projection methods for inverse-strongly monotone mappings

Journal article

Authors/Editors

POOM KUMAM

Strategic Research Themes

No matching items found.

Publication Details

Author list: Kumam P., Kumam W., Junlouchai P.

Publication year: 2011

Volume number: 2011

ISSN: 1026-0226

eISSN: 1026-0226

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-80052684112&doi=10.1155%2f2011%2f976505&partnerID=40&md5=ecb55486d4ae7e9dd19c4fe8ad909740

Languages: English-Great Britain (EN-GB)

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

Abstract

We introduce an iterative sequence for finding a common element of the set of fixed points of a nonexpansive mapping and the solutions of the variational inequality problem for three inverse-strongly monotone mappings. Under suitable conditions, some strong convergence theorems for approximating a common element of the above two sets are obtained. Moreover, using the above theorem, we also apply to find solutions of a general system of variational inequality and a zero of a maximal monotone operator in a real Hilbert space. As applications, at the end of the paper we utilize our results to study some convergence problem for strictly pseudocontractive mappings. Our results include the previous results as special cases extend and improve the results of Ceng et al., (2008) and many others. Copyright ฉ 2011 Wiyada Kumam et al.

Keywords