Common Fixed-Point Problem for a Family Multivalued Mapping in Banach Space

It is our purpose in this paper to prove two convergents of viscosity approximation scheme to a common fixed point of a family of multivalued nonexpansive mappings in Banach spaces. Moreover, it is the unique solution in 𝐹 to a certain variational inequality, where 𝐹∶=∩∞𝑛=0𝐹(𝑇𝑛) stands for the commo...

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Main Author: Zhanfei Zuo
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2011/459085
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author Zhanfei Zuo
author_facet Zhanfei Zuo
author_sort Zhanfei Zuo
collection DOAJ
description It is our purpose in this paper to prove two convergents of viscosity approximation scheme to a common fixed point of a family of multivalued nonexpansive mappings in Banach spaces. Moreover, it is the unique solution in 𝐹 to a certain variational inequality, where 𝐹∶=∩∞𝑛=0𝐹(𝑇𝑛) stands for the common fixed-point set of the family of multivalued nonexpansive mapping {𝑇𝑛}.
format Article
id doaj-art-1083e0adf8c94e309992bfe5df3c6c48
institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 2011-01-01
publisher Wiley
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-1083e0adf8c94e309992bfe5df3c6c482025-02-03T01:02:23ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252011-01-01201110.1155/2011/459085459085Common Fixed-Point Problem for a Family Multivalued Mapping in Banach SpaceZhanfei Zuo0Department of Mathematics and Computer Science, Chongqing Three Gorges University, Wanzhou 404000, ChinaIt is our purpose in this paper to prove two convergents of viscosity approximation scheme to a common fixed point of a family of multivalued nonexpansive mappings in Banach spaces. Moreover, it is the unique solution in 𝐹 to a certain variational inequality, where 𝐹∶=∩∞𝑛=0𝐹(𝑇𝑛) stands for the common fixed-point set of the family of multivalued nonexpansive mapping {𝑇𝑛}.http://dx.doi.org/10.1155/2011/459085
spellingShingle Zhanfei Zuo
Common Fixed-Point Problem for a Family Multivalued Mapping in Banach Space
International Journal of Mathematics and Mathematical Sciences
title Common Fixed-Point Problem for a Family Multivalued Mapping in Banach Space
title_full Common Fixed-Point Problem for a Family Multivalued Mapping in Banach Space
title_fullStr Common Fixed-Point Problem for a Family Multivalued Mapping in Banach Space
title_full_unstemmed Common Fixed-Point Problem for a Family Multivalued Mapping in Banach Space
title_short Common Fixed-Point Problem for a Family Multivalued Mapping in Banach Space
title_sort common fixed point problem for a family multivalued mapping in banach space
url http://dx.doi.org/10.1155/2011/459085
work_keys_str_mv AT zhanfeizuo commonfixedpointproblemforafamilymultivaluedmappinginbanachspace