Solutions of system of equilibrium and variational inequality problems on fixed points of infinite family of nonexpansive mappings

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Publication Details

Author list: Kumam W., Piri H., Kumam P.

Publisher: Elsevier

Publication year: 2014

Journal: Applied Mathematics and Computation (0096-3003)

Volume number: 248

Start page: 441

End page: 455

Number of pages: 15

ISSN: 0096-3003

eISSN: 1873-5649

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84908449929&doi=10.1016%2fj.amc.2014.09.118&partnerID=40&md5=cbc39cee63172ef14193bd22a303ad22

Languages: English-Great Britain (EN-GB)

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Abstract

In this paper, we introduce a hybrid viscosity approximation scheme for finding a common element of the solution set for a system of equilibrium problems, the solution set for a system of variational inequality problems and the common fixed point set for an infinite family of nonexpansive mappings in Hilbert spaces. Then we prove the strong convergence of the proposed iterative scheme. Our results improve and extend the results announced by Ceng and Yao (2008) [4]. ฉ 2014 Elsevier Inc.

Keywords

System of equilibrium problem, System of variational inequalities