Some Characterizations for a Family of Nonexpansive Mappings and Convergence of a Generated Sequence to Their Common Fixed Point

Motivated by the method of Xu (2006) and Matsushita and Takahashi (2008), we characterize the set of all common fixed points of a family of nonexpansive mappings by the notion of Mosco convergence and prove strong convergence theorems for nonexpansive mappings and semigroups in a uniformly convex Ba...

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Autores principales:	Kazuhide Nakajo, Yasunori Kimura
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2010
Materias:	Applied mathematics. Quantitative methods T57-57.97 Analysis QA299.6-433
Acceso en línea:	https://doaj.org/article/35c0ae9783f04776b8f4e9467eacda89
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spelling	oai:doaj.org-article:35c0ae9783f04776b8f4e9467eacda892021-12-02T11:14:56ZSome Characterizations for a Family of Nonexpansive Mappings and Convergence of a Generated Sequence to Their Common Fixed Point10.1155/2010/7328721687-18201687-1812https://doaj.org/article/35c0ae9783f04776b8f4e9467eacda892010-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2010/732872https://doaj.org/toc/1687-1820https://doaj.org/toc/1687-1812Motivated by the method of Xu (2006) and Matsushita and Takahashi (2008), we characterize the set of all common fixed points of a family of nonexpansive mappings by the notion of Mosco convergence and prove strong convergence theorems for nonexpansive mappings and semigroups in a uniformly convex Banach space. Kazuhide NakajoYasunori KimuraSpringerOpenarticleApplied mathematics. Quantitative methodsT57-57.97AnalysisQA299.6-433ENFixed Point Theory and Applications, Vol 2010 (2010)
institution	DOAJ
collection	DOAJ
language	EN
topic	Applied mathematics. Quantitative methods T57-57.97 Analysis QA299.6-433
spellingShingle	Applied mathematics. Quantitative methods T57-57.97 Analysis QA299.6-433 Kazuhide Nakajo Yasunori Kimura Some Characterizations for a Family of Nonexpansive Mappings and Convergence of a Generated Sequence to Their Common Fixed Point
description	Motivated by the method of Xu (2006) and Matsushita and Takahashi (2008), we characterize the set of all common fixed points of a family of nonexpansive mappings by the notion of Mosco convergence and prove strong convergence theorems for nonexpansive mappings and semigroups in a uniformly convex Banach space.
format	article
author	Kazuhide Nakajo Yasunori Kimura
author_facet	Kazuhide Nakajo Yasunori Kimura
author_sort	Kazuhide Nakajo
title	Some Characterizations for a Family of Nonexpansive Mappings and Convergence of a Generated Sequence to Their Common Fixed Point
title_short	Some Characterizations for a Family of Nonexpansive Mappings and Convergence of a Generated Sequence to Their Common Fixed Point
title_full	Some Characterizations for a Family of Nonexpansive Mappings and Convergence of a Generated Sequence to Their Common Fixed Point
title_fullStr	Some Characterizations for a Family of Nonexpansive Mappings and Convergence of a Generated Sequence to Their Common Fixed Point
title_full_unstemmed	Some Characterizations for a Family of Nonexpansive Mappings and Convergence of a Generated Sequence to Their Common Fixed Point
title_sort	some characterizations for a family of nonexpansive mappings and convergence of a generated sequence to their common fixed point
publisher	SpringerOpen
publishDate	2010
url	https://doaj.org/article/35c0ae9783f04776b8f4e9467eacda89
work_keys_str_mv	AT kazuhidenakajo somecharacterizationsforafamilyofnonexpansivemappingsandconvergenceofageneratedsequencetotheircommonfixedpoint AT yasunorikimura somecharacterizationsforafamilyofnonexpansivemappingsandconvergenceofageneratedsequencetotheircommonfixedpoint
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Some Characterizations for a Family of Nonexpansive Mappings and Convergence of a Generated Sequence to Their Common Fixed Point

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