Hybrid methods for a mixed equilibrium problem and fixed points of a countable family of multivalued nonexpansive mappings

In this paper, we prove a strong convergence theorem for a new hybrid method, using shrinking projection method introduced by Takahashi and a fixed point method for finding a common element of the set of solutions of mixed equilibrium problem and the set of common fixed points of a countable family...

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Main Authors:	Bunyawat A., Suantai S.
Format:	Article
Published:	Springer Publishing Company 2015
Subjects:	Geometry and Topology Applied Mathematics
Online Access:	http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84902584523&origin=inward http://cmuir.cmu.ac.th/handle/6653943832/38740
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-38740
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spelling	th-cmuir.6653943832-387402015-06-16T07:54:06Z Hybrid methods for a mixed equilibrium problem and fixed points of a countable family of multivalued nonexpansive mappings Bunyawat A. Suantai S. Geometry and Topology Applied Mathematics In this paper, we prove a strong convergence theorem for a new hybrid method, using shrinking projection method introduced by Takahashi and a fixed point method for finding a common element of the set of solutions of mixed equilibrium problem and the set of common fixed points of a countable family of multivalued nonexpansive mappings in Hilbert spaces. We also apply our main result to the convex minimization problem and the fixed point problem of a countable family of multivalued nonexpansive mappings. © 2013 Bunyawat and Suantai; licensee Springer. 2015-06-16T07:54:06Z 2015-06-16T07:54:06Z 2013-01-01 Article 16871820 2-s2.0-84902584523 10.1186/1687-1812-2013-236 http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84902584523&origin=inward http://cmuir.cmu.ac.th/handle/6653943832/38740 Springer Publishing Company
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Geometry and Topology Applied Mathematics
spellingShingle	Geometry and Topology Applied Mathematics Bunyawat A. Suantai S. Hybrid methods for a mixed equilibrium problem and fixed points of a countable family of multivalued nonexpansive mappings
description	In this paper, we prove a strong convergence theorem for a new hybrid method, using shrinking projection method introduced by Takahashi and a fixed point method for finding a common element of the set of solutions of mixed equilibrium problem and the set of common fixed points of a countable family of multivalued nonexpansive mappings in Hilbert spaces. We also apply our main result to the convex minimization problem and the fixed point problem of a countable family of multivalued nonexpansive mappings. © 2013 Bunyawat and Suantai; licensee Springer.
format	Article
author	Bunyawat A. Suantai S.
author_facet	Bunyawat A. Suantai S.
author_sort	Bunyawat A.
title	Hybrid methods for a mixed equilibrium problem and fixed points of a countable family of multivalued nonexpansive mappings
title_short	Hybrid methods for a mixed equilibrium problem and fixed points of a countable family of multivalued nonexpansive mappings
title_full	Hybrid methods for a mixed equilibrium problem and fixed points of a countable family of multivalued nonexpansive mappings
title_fullStr	Hybrid methods for a mixed equilibrium problem and fixed points of a countable family of multivalued nonexpansive mappings
title_full_unstemmed	Hybrid methods for a mixed equilibrium problem and fixed points of a countable family of multivalued nonexpansive mappings
title_sort	hybrid methods for a mixed equilibrium problem and fixed points of a countable family of multivalued nonexpansive mappings
publisher	Springer Publishing Company
publishDate	2015
url	http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84902584523&origin=inward http://cmuir.cmu.ac.th/handle/6653943832/38740
_version_	1681421528372084736

Hybrid methods for a mixed equilibrium problem and fixed points of a countable family of multivalued nonexpansive mappings

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