Hybrid iterative scheme for generalized equilibrium problems and fixed point problems of finite family of nonexpansive mappings

In this paper, we introduce a new mapping and a Hybrid iterative scheme for finding a common element of the set of solutions of a generalized equilibrium problem and the set of common fixed points of a finite family of nonexpansive mappings in a Hilbert space. Then, we prove the strong convergence o...

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Main Authors:	Atid Kangtunyakarn, Suthep Suantai
Format:	Journal
Published:	2018
Subjects:	Computer Science Engineering Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=67549121155&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/59511
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Institution:	Chiang Mai University

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spelling	th-cmuir.6653943832-595112018-09-10T03:20:42Z Hybrid iterative scheme for generalized equilibrium problems and fixed point problems of finite family of nonexpansive mappings Atid Kangtunyakarn Suthep Suantai Computer Science Engineering Mathematics In this paper, we introduce a new mapping and a Hybrid iterative scheme for finding a common element of the set of solutions of a generalized equilibrium problem and the set of common fixed points of a finite family of nonexpansive mappings in a Hilbert space. Then, we prove the strong convergence of the proposed iterative algorithm to a common fixed point of a finite family of nonexpansive mappings which is a solution of the generalized equilibrium problem. The results obtained in this paper extend the recent ones of Takahashi and Takahashi [S. Takahashi, W. Takahashi, Strong convergence theorem for a generalized equilibrium problem and a nonexpansive mapping in a Hilbert space, Nonlinear Anal. 69 (2008) 1025-1033]. © 2009 Elsevier Ltd. All rights reserved. 2018-09-10T03:16:28Z 2018-09-10T03:16:28Z 2009-08-01 Journal 1751570X 2-s2.0-67549121155 10.1016/j.nahs.2009.01.012 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=67549121155&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/59511
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Computer Science Engineering Mathematics
spellingShingle	Computer Science Engineering Mathematics Atid Kangtunyakarn Suthep Suantai Hybrid iterative scheme for generalized equilibrium problems and fixed point problems of finite family of nonexpansive mappings
description	In this paper, we introduce a new mapping and a Hybrid iterative scheme for finding a common element of the set of solutions of a generalized equilibrium problem and the set of common fixed points of a finite family of nonexpansive mappings in a Hilbert space. Then, we prove the strong convergence of the proposed iterative algorithm to a common fixed point of a finite family of nonexpansive mappings which is a solution of the generalized equilibrium problem. The results obtained in this paper extend the recent ones of Takahashi and Takahashi [S. Takahashi, W. Takahashi, Strong convergence theorem for a generalized equilibrium problem and a nonexpansive mapping in a Hilbert space, Nonlinear Anal. 69 (2008) 1025-1033]. © 2009 Elsevier Ltd. All rights reserved.
format	Journal
author	Atid Kangtunyakarn Suthep Suantai
author_facet	Atid Kangtunyakarn Suthep Suantai
author_sort	Atid Kangtunyakarn
title	Hybrid iterative scheme for generalized equilibrium problems and fixed point problems of finite family of nonexpansive mappings
title_short	Hybrid iterative scheme for generalized equilibrium problems and fixed point problems of finite family of nonexpansive mappings
title_full	Hybrid iterative scheme for generalized equilibrium problems and fixed point problems of finite family of nonexpansive mappings
title_fullStr	Hybrid iterative scheme for generalized equilibrium problems and fixed point problems of finite family of nonexpansive mappings
title_full_unstemmed	Hybrid iterative scheme for generalized equilibrium problems and fixed point problems of finite family of nonexpansive mappings
title_sort	hybrid iterative scheme for generalized equilibrium problems and fixed point problems of finite family of nonexpansive mappings
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=67549121155&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/59511
_version_	1681425264805937152

Hybrid iterative scheme for generalized equilibrium problems and fixed point problems of finite family of nonexpansive mappings

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