Algorithms of common solutions for a fixed point of hemicontractive-type mapping and a generalized equilibrium problem

In this paper, we introduce and study an iterative algorithm for finding a common element of the set of fixed points of a Lipschitz hemicontractive-type multi-valued mapping and the set of solutions of a generalized equilibrium problem in the framework of Hilbert spaces. Our results improve and exte...

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Bibliographic Details
Published inInternational journal of advanced mathematical sciences Vol. 5; no. 1; pp. 20 - 26
Main Authors Zegeye, Habtu, Hadush Meche, Tesfalem, Goa Sangago, Mengistu
Format Journal Article
LanguageEnglish
Published 05.04.2017
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Summary:In this paper, we introduce and study an iterative algorithm for finding a common element of the set of fixed points of a Lipschitz hemicontractive-type multi-valued mapping and the set of solutions of a generalized equilibrium problem in the framework of Hilbert spaces. Our results improve and extend most of the results that have been proved previously by many authors in this research area.
ISSN:2307-454X
2307-454X
DOI:10.14419/ijams.v5i1.7270