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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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| 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 |
| record_format | Article |
| 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 |