Strong convergence theorems by hybrid projection methods for equilibrium problems and fixed point problems of the asymptotically quasi-<it>ϕ</it>-nonexpansive mappings

<p>Abstract</p> <p>We consider a hybrid projection method for finding a common element in the fixed point set of an asymptotically quasi-<it>ϕ</it>-nonexpansive mapping and in the solution set of an equilibrium problem. Strong convergence theorems of common ele...

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Autor principal:	Kim Jong
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2011
Materias:	Asymptotically quasi-<it>ϕ</it>-nonexpansive mapping Relatively non-expansive mapping Generalized projection Equilibrium problem Lower semi-continuous Applied mathematics. Quantitative methods T57-57.97 Analysis QA299.6-433
Acceso en línea:	https://doaj.org/article/47e010f4369344ec8bcf9283d0cd3260
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spelling	oai:doaj.org-article:47e010f4369344ec8bcf9283d0cd32602021-12-02T12:28:13ZStrong convergence theorems by hybrid projection methods for equilibrium problems and fixed point problems of the asymptotically quasi-<it>ϕ</it>-nonexpansive mappings1687-18201687-1812https://doaj.org/article/47e010f4369344ec8bcf9283d0cd32602011-01-01T00:00:00Zhttp://www.fixedpointtheoryandapplications.com/content/2011/1/10https://doaj.org/toc/1687-1820https://doaj.org/toc/1687-1812<p>Abstract</p> <p>We consider a hybrid projection method for finding a common element in the fixed point set of an asymptotically quasi-<it>ϕ</it>-nonexpansive mapping and in the solution set of an equilibrium problem. Strong convergence theorems of common elements are established in a uniformly smooth and strictly convex Banach space which has the Kadec-Klee property.</p> <p> <b>2000 Mathematics subject classification</b>: 47H05, 47H09, 47H10, 47J25</p> Kim JongSpringerOpenarticleAsymptotically quasi-<it>ϕ</it>-nonexpansive mappingRelatively non-expansive mappingGeneralized projectionEquilibrium problemLower semi-continuousApplied mathematics. Quantitative methodsT57-57.97AnalysisQA299.6-433ENFixed Point Theory and Applications, Vol 2011, Iss 1, p 10 (2011)
institution	DOAJ
collection	DOAJ
language	EN
topic	Asymptotically quasi-<it>ϕ</it>-nonexpansive mapping Relatively non-expansive mapping Generalized projection Equilibrium problem Lower semi-continuous Applied mathematics. Quantitative methods T57-57.97 Analysis QA299.6-433
spellingShingle	Asymptotically quasi-<it>ϕ</it>-nonexpansive mapping Relatively non-expansive mapping Generalized projection Equilibrium problem Lower semi-continuous Applied mathematics. Quantitative methods T57-57.97 Analysis QA299.6-433 Kim Jong Strong convergence theorems by hybrid projection methods for equilibrium problems and fixed point problems of the asymptotically quasi-<it>ϕ</it>-nonexpansive mappings
description	<p>Abstract</p> <p>We consider a hybrid projection method for finding a common element in the fixed point set of an asymptotically quasi-<it>ϕ</it>-nonexpansive mapping and in the solution set of an equilibrium problem. Strong convergence theorems of common elements are established in a uniformly smooth and strictly convex Banach space which has the Kadec-Klee property.</p> <p> <b>2000 Mathematics subject classification</b>: 47H05, 47H09, 47H10, 47J25</p>
format	article
author	Kim Jong
author_facet	Kim Jong
author_sort	Kim Jong
title	Strong convergence theorems by hybrid projection methods for equilibrium problems and fixed point problems of the asymptotically quasi-<it>ϕ</it>-nonexpansive mappings
title_short	Strong convergence theorems by hybrid projection methods for equilibrium problems and fixed point problems of the asymptotically quasi-<it>ϕ</it>-nonexpansive mappings
title_full	Strong convergence theorems by hybrid projection methods for equilibrium problems and fixed point problems of the asymptotically quasi-<it>ϕ</it>-nonexpansive mappings
title_fullStr	Strong convergence theorems by hybrid projection methods for equilibrium problems and fixed point problems of the asymptotically quasi-<it>ϕ</it>-nonexpansive mappings
title_full_unstemmed	Strong convergence theorems by hybrid projection methods for equilibrium problems and fixed point problems of the asymptotically quasi-<it>ϕ</it>-nonexpansive mappings
title_sort	strong convergence theorems by hybrid projection methods for equilibrium problems and fixed point problems of the asymptotically quasi-<it>ϕ</it>-nonexpansive mappings
publisher	SpringerOpen
publishDate	2011
url	https://doaj.org/article/47e010f4369344ec8bcf9283d0cd3260
work_keys_str_mv	AT kimjong strongconvergencetheoremsbyhybridprojectionmethodsforequilibriumproblemsandfixedpointproblemsoftheasymptoticallyquasiit981itnonexpansivemappings
_version_	1718394450429870080

Strong convergence theorems by hybrid projection methods for equilibrium problems and fixed point problems of the asymptotically quasi-<it>&#981;</it>-nonexpansive mappings

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