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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Published in | International journal of advanced mathematical sciences Vol. 5; no. 1; pp. 20 - 26 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
05.04.2017
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Online Access | Get full text |
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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. |
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ISSN: | 2307-454X 2307-454X |
DOI: | 10.14419/ijams.v5i1.7270 |