Hybrid-extragradient type methods for a generalized equilibrium problem and variational inequality problems of nonexpansive semigroups

Journal article

Authors/Editors

POOM KUMAM

Strategic Research Themes

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Publication Details

Author list: Katchang P., Kumam P.

Publication year: 2012

Journal: Fixed Point Theory (1583-5022)

Volume number: 13

Issue number: 1

Start page: 107

End page: 120

Number of pages: 14

ISSN: 1583-5022

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84859016992&partnerID=40&md5=5da23bf98873e3571d26052209662cfb

Languages: English-Great Britain (EN-GB)

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Abstract

We study and introduce modified mann iterative algorithms for finding a common element of the set of solutions of a generalized equilibrium problem, the set of solutions of variational inequalities and the set of fixed points for nonexpansive semigroups. Then, we prove strong convergence theorems in a real Hilbert space by using the hybrid-extragradient type methods in the mathematical programming under some appropriate control conditions.

Keywords

Semigroup