Fixed Points of Asymptotic Pointwise Nonexpansive Mappings in Modular Spaces
Kirk and Xu studied the existence of fixed points of asymptotic pointwise nonexpansive mappings in the Banach space. In this paper, we investigate these kinds of mappings in modular spaces. Moreover, we prove the existence of fixed points of asymptotic pointwise nonexpansive mappings in modular spac...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/319394 |
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| _version_ | 1832553746953928704 |
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| author | Xue Wang Ying Chen Rudong Chen |
| author_facet | Xue Wang Ying Chen Rudong Chen |
| author_sort | Xue Wang |
| collection | DOAJ |
| description | Kirk and Xu studied the existence of fixed points of asymptotic pointwise nonexpansive mappings in the Banach space. In this paper, we investigate these kinds of mappings in modular spaces. Moreover, we prove the existence of fixed points of asymptotic pointwise nonexpansive mappings in modular spaces. The results improve and extend the corresponding results of Kirk and Xu (2008) to modular
spaces. |
| format | Article |
| id | doaj-art-5dc33a23ff4348ea83faf266375fa9de |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-5dc33a23ff4348ea83faf266375fa9de2025-02-03T05:53:20ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/319394319394Fixed Points of Asymptotic Pointwise Nonexpansive Mappings in Modular SpacesXue Wang0Ying Chen1Rudong Chen2Department of Mathematics, Tianjin Polytechnic University, Tianjin 300160, ChinaTianjin Higher Occupation Technique Education Department, Tianjin University of Technology and Education, Tianjin 300222, ChinaDepartment of Mathematics, Tianjin Polytechnic University, Tianjin 300160, ChinaKirk and Xu studied the existence of fixed points of asymptotic pointwise nonexpansive mappings in the Banach space. In this paper, we investigate these kinds of mappings in modular spaces. Moreover, we prove the existence of fixed points of asymptotic pointwise nonexpansive mappings in modular spaces. The results improve and extend the corresponding results of Kirk and Xu (2008) to modular spaces.http://dx.doi.org/10.1155/2012/319394 |
| spellingShingle | Xue Wang Ying Chen Rudong Chen Fixed Points of Asymptotic Pointwise Nonexpansive Mappings in Modular Spaces Journal of Applied Mathematics |
| title | Fixed Points of Asymptotic Pointwise Nonexpansive Mappings in Modular Spaces |
| title_full | Fixed Points of Asymptotic Pointwise Nonexpansive Mappings in Modular Spaces |
| title_fullStr | Fixed Points of Asymptotic Pointwise Nonexpansive Mappings in Modular Spaces |
| title_full_unstemmed | Fixed Points of Asymptotic Pointwise Nonexpansive Mappings in Modular Spaces |
| title_short | Fixed Points of Asymptotic Pointwise Nonexpansive Mappings in Modular Spaces |
| title_sort | fixed points of asymptotic pointwise nonexpansive mappings in modular spaces |
| url | http://dx.doi.org/10.1155/2012/319394 |
| work_keys_str_mv | AT xuewang fixedpointsofasymptoticpointwisenonexpansivemappingsinmodularspaces AT yingchen fixedpointsofasymptoticpointwisenonexpansivemappingsinmodularspaces AT rudongchen fixedpointsofasymptoticpointwisenonexpansivemappingsinmodularspaces |