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

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: Hindawi Limited 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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spelling doaj-1083e0adf8c94e309992bfe5df3c6c482020-11-24T22:48:14ZengHindawi LimitedInternational 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
collection DOAJ
language English
format Article
sources DOAJ
author Zhanfei Zuo
spellingShingle Zhanfei Zuo
Common Fixed-Point Problem for a Family Multivalued Mapping in Banach Space
International Journal of Mathematics and Mathematical Sciences
author_facet Zhanfei Zuo
author_sort Zhanfei Zuo
title 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_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_sort common fixed-point problem for a family multivalued mapping in banach space
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2011-01-01
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}.
url http://dx.doi.org/10.1155/2011/459085
work_keys_str_mv AT zhanfeizuo commonfixedpointproblemforafamilymultivaluedmappinginbanachspace
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