Fixed Point Problems for Nonexpansive Mappings in Bounded Sets of Banach Spaces
It is well known that nonexpansive mappings do not always have fixed points for bounded sets in Banach space. The purpose of this paper is to establish fixed point theorems of nonexpansive mappings for bounded sets in Banach spaces. We study the existence of fixed points for nonexpansive mappings in...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2020/9182016 |
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| _version_ | 1832560509051731968 |
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| author | Xianbing Wu |
| author_facet | Xianbing Wu |
| author_sort | Xianbing Wu |
| collection | DOAJ |
| description | It is well known that nonexpansive mappings do not always have fixed points for bounded sets in Banach space. The purpose of this paper is to establish fixed point theorems of nonexpansive mappings for bounded sets in Banach spaces. We study the existence of fixed points for nonexpansive mappings in bounded sets, and we present the iterative process to approximate fixed points. Some examples are given to support our results. |
| format | Article |
| id | doaj-art-226b6a76b3d344dfa2d7e5b1d222df6a |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-226b6a76b3d344dfa2d7e5b1d222df6a2025-02-03T01:27:25ZengWileyAdvances in Mathematical Physics1687-91201687-91392020-01-01202010.1155/2020/91820169182016Fixed Point Problems for Nonexpansive Mappings in Bounded Sets of Banach SpacesXianbing Wu0Department of Mathematics, Yangtze Normal University, Fuling, Chongqing 408100, ChinaIt is well known that nonexpansive mappings do not always have fixed points for bounded sets in Banach space. The purpose of this paper is to establish fixed point theorems of nonexpansive mappings for bounded sets in Banach spaces. We study the existence of fixed points for nonexpansive mappings in bounded sets, and we present the iterative process to approximate fixed points. Some examples are given to support our results.http://dx.doi.org/10.1155/2020/9182016 |
| spellingShingle | Xianbing Wu Fixed Point Problems for Nonexpansive Mappings in Bounded Sets of Banach Spaces Advances in Mathematical Physics |
| title | Fixed Point Problems for Nonexpansive Mappings in Bounded Sets of Banach Spaces |
| title_full | Fixed Point Problems for Nonexpansive Mappings in Bounded Sets of Banach Spaces |
| title_fullStr | Fixed Point Problems for Nonexpansive Mappings in Bounded Sets of Banach Spaces |
| title_full_unstemmed | Fixed Point Problems for Nonexpansive Mappings in Bounded Sets of Banach Spaces |
| title_short | Fixed Point Problems for Nonexpansive Mappings in Bounded Sets of Banach Spaces |
| title_sort | fixed point problems for nonexpansive mappings in bounded sets of banach spaces |
| url | http://dx.doi.org/10.1155/2020/9182016 |
| work_keys_str_mv | AT xianbingwu fixedpointproblemsfornonexpansivemappingsinboundedsetsofbanachspaces |