Weak and strong convergence theorems of a multistep iteration to a common fixed point of a family of nonself asymptotically nonexpansive mappings in banach spaces

In this paper we have defined a multistep iterative scheme with errors involving a family of asymptotically nonexpansive nonself mappings in Banach spaces. A retraction has been used in the construction of theiteration. We prove here weak and strong convergences of the iteration to common fixed poin...

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Autores principales:	Banerjee,Shrabani, Choudhury,Binayak S
Lenguaje:	English
Publicado:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2012
Materias:	Modified multistep iterative process with errors nonself asymptotically nonexpansive mapping retraction Opial’s condition uniformly convex Banach space common fixed point Kadec-klee property Condition weak and strong convergence
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462012000300010
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spelling	oai:scielo:S0719-064620120003000102018-10-08Weak and strong convergence theorems of a multistep iteration to a common fixed point of a family of nonself asymptotically nonexpansive mappings in banach spacesBanerjee,ShrabaniChoudhury,Binayak S Modified multistep iterative process with errors nonself asymptotically nonexpansive mapping retraction Opial’s condition uniformly convex Banach space common fixed point Kadec-klee property Condition weak and strong convergence In this paper we have defined a multistep iterative scheme with errors involving a family of asymptotically nonexpansive nonself mappings in Banach spaces. A retraction has been used in the construction of theiteration. We prove here weak and strong convergences of the iteration to common fixed points of the family of asymptotically nonexpansive nonself mappings. We have used several concepts of Banach space geometry. Our results improve and extend some recent results.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.14 n.3 20122012-10-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462012000300010en10.4067/S0719-06462012000300010
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Modified multistep iterative process with errors nonself asymptotically nonexpansive mapping retraction Opial’s condition uniformly convex Banach space common fixed point Kadec-klee property Condition weak and strong convergence
spellingShingle	Modified multistep iterative process with errors nonself asymptotically nonexpansive mapping retraction Opial’s condition uniformly convex Banach space common fixed point Kadec-klee property Condition weak and strong convergence Banerjee,Shrabani Choudhury,Binayak S Weak and strong convergence theorems of a multistep iteration to a common fixed point of a family of nonself asymptotically nonexpansive mappings in banach spaces
description	In this paper we have defined a multistep iterative scheme with errors involving a family of asymptotically nonexpansive nonself mappings in Banach spaces. A retraction has been used in the construction of theiteration. We prove here weak and strong convergences of the iteration to common fixed points of the family of asymptotically nonexpansive nonself mappings. We have used several concepts of Banach space geometry. Our results improve and extend some recent results.
author	Banerjee,Shrabani Choudhury,Binayak S
author_facet	Banerjee,Shrabani Choudhury,Binayak S
author_sort	Banerjee,Shrabani
title	Weak and strong convergence theorems of a multistep iteration to a common fixed point of a family of nonself asymptotically nonexpansive mappings in banach spaces
title_short	Weak and strong convergence theorems of a multistep iteration to a common fixed point of a family of nonself asymptotically nonexpansive mappings in banach spaces
title_full	Weak and strong convergence theorems of a multistep iteration to a common fixed point of a family of nonself asymptotically nonexpansive mappings in banach spaces
title_fullStr	Weak and strong convergence theorems of a multistep iteration to a common fixed point of a family of nonself asymptotically nonexpansive mappings in banach spaces
title_full_unstemmed	Weak and strong convergence theorems of a multistep iteration to a common fixed point of a family of nonself asymptotically nonexpansive mappings in banach spaces
title_sort	weak and strong convergence theorems of a multistep iteration to a common fixed point of a family of nonself asymptotically nonexpansive mappings in banach spaces
publisher	Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate	2012
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462012000300010
work_keys_str_mv	AT banerjeeshrabani weakandstrongconvergencetheoremsofamultistepiterationtoacommonfixedpointofafamilyofnonselfasymptoticallynonexpansivemappingsinbanachspaces AT choudhurybinayaks weakandstrongconvergencetheoremsofamultistepiterationtoacommonfixedpointofafamilyofnonselfasymptoticallynonexpansivemappingsinbanachspaces
_version_	1714206780339257344

Weak and strong convergence theorems of a multistep iteration to a common fixed point of a family of nonself asymptotically nonexpansive mappings in banach spaces

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