Strong Convergence Theorems by Shrinking Projection Methods for Class <inline-formula> <graphic file="1687-1812-2011-681214-i1.gif"/></inline-formula> Mappings

<p/> <p>We prove a strong convergence theorem by a shrinking projection method for the class of <inline-formula> <graphic file="1687-1812-2011-681214-i2.gif"/></inline-formula> mappings. Using this theorem, we get a new result. We also describe a shrinking pro...

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Autores principales:	Su Fang, Dong Qiao-Li, He Songnian
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2011
Materias:	Applied mathematics. Quantitative methods T57-57.97 Analysis QA299.6-433
Acceso en línea:	https://doaj.org/article/3558cfedcd1f4b8ba5ffe222deee342e
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spelling	oai:doaj.org-article:3558cfedcd1f4b8ba5ffe222deee342e2021-12-02T12:28:13ZStrong Convergence Theorems by Shrinking Projection Methods for Class <inline-formula> <graphic file="1687-1812-2011-681214-i1.gif"/></inline-formula> Mappings1687-18201687-1812https://doaj.org/article/3558cfedcd1f4b8ba5ffe222deee342e2011-01-01T00:00:00Zhttp://www.fixedpointtheoryandapplications.com/content/2011/681214https://doaj.org/toc/1687-1820https://doaj.org/toc/1687-1812<p/> <p>We prove a strong convergence theorem by a shrinking projection method for the class of <inline-formula> <graphic file="1687-1812-2011-681214-i2.gif"/></inline-formula> mappings. Using this theorem, we get a new result. We also describe a shrinking projection method for a nonexpansive mapping on Hilbert spaces, which is the same as that of Takahashi et al. (2008).</p>Su FangDong Qiao-LiHe SongnianSpringerOpenarticleApplied mathematics. Quantitative methodsT57-57.97AnalysisQA299.6-433ENFixed Point Theory and Applications, Vol 2011, Iss 1, p 681214 (2011)
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 Su Fang Dong Qiao-Li He Songnian Strong Convergence Theorems by Shrinking Projection Methods for Class <inline-formula> <graphic file="1687-1812-2011-681214-i1.gif"/></inline-formula> Mappings
description	<p/> <p>We prove a strong convergence theorem by a shrinking projection method for the class of <inline-formula> <graphic file="1687-1812-2011-681214-i2.gif"/></inline-formula> mappings. Using this theorem, we get a new result. We also describe a shrinking projection method for a nonexpansive mapping on Hilbert spaces, which is the same as that of Takahashi et al. (2008).</p>
format	article
author	Su Fang Dong Qiao-Li He Songnian
author_facet	Su Fang Dong Qiao-Li He Songnian
author_sort	Su Fang
title	Strong Convergence Theorems by Shrinking Projection Methods for Class <inline-formula> <graphic file="1687-1812-2011-681214-i1.gif"/></inline-formula> Mappings
title_short	Strong Convergence Theorems by Shrinking Projection Methods for Class <inline-formula> <graphic file="1687-1812-2011-681214-i1.gif"/></inline-formula> Mappings
title_full	Strong Convergence Theorems by Shrinking Projection Methods for Class <inline-formula> <graphic file="1687-1812-2011-681214-i1.gif"/></inline-formula> Mappings
title_fullStr	Strong Convergence Theorems by Shrinking Projection Methods for Class <inline-formula> <graphic file="1687-1812-2011-681214-i1.gif"/></inline-formula> Mappings
title_full_unstemmed	Strong Convergence Theorems by Shrinking Projection Methods for Class <inline-formula> <graphic file="1687-1812-2011-681214-i1.gif"/></inline-formula> Mappings
title_sort	strong convergence theorems by shrinking projection methods for class <inline-formula> <graphic file="1687-1812-2011-681214-i1.gif"/></inline-formula> mappings
publisher	SpringerOpen
publishDate	2011
url	https://doaj.org/article/3558cfedcd1f4b8ba5ffe222deee342e
work_keys_str_mv	AT sufang strongconvergencetheoremsbyshrinkingprojectionmethodsforclassinlineformulagraphicfile168718122011681214i1gifinlineformulamappings AT dongqiaoli strongconvergencetheoremsbyshrinkingprojectionmethodsforclassinlineformulagraphicfile168718122011681214i1gifinlineformulamappings AT hesongnian strongconvergencetheoremsbyshrinkingprojectionmethodsforclassinlineformulagraphicfile168718122011681214i1gifinlineformulamappings
_version_	1718394446954889216

Strong Convergence Theorems by Shrinking Projection Methods for Class <inline-formula> <graphic file="1687-1812-2011-681214-i1.gif"/></inline-formula> Mappings

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