On the Weak Relatively Nonexpansive Mappings in Banach Spaces
<p>Abstract</p> <p>In recent years, the definition of weak relatively nonexpansive mapping has been presented and studied by many authors. In this paper, we give some results about weak relatively nonexpansive mappings and give two examples which are weak relatively nonexpansive ma...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2010-01-01
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| Series: | Fixed Point Theory and Applications |
| Online Access: | http://www.fixedpointtheoryandapplications.com/content/2010/189751 |
| _version_ | 1818732842441506816 |
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| author | Su Yongfu Xu Yongchun |
| author_facet | Su Yongfu Xu Yongchun |
| author_sort | Su Yongfu |
| collection | DOAJ |
| description | <p>Abstract</p> <p>In recent years, the definition of weak relatively nonexpansive mapping has been presented and studied by many authors. In this paper, we give some results about weak relatively nonexpansive mappings and give two examples which are weak relatively nonexpansive mappings but not relatively nonexpansive mappings in Banach space <inline-formula> <graphic file="1687-1812-2010-189751-i1.gif"/></inline-formula> and <inline-formula> <graphic file="1687-1812-2010-189751-i2.gif"/></inline-formula>.</p> |
| first_indexed | 2024-12-17T23:40:00Z |
| format | Article |
| id | doaj.art-13488defb07d449d81ea6263c226f1e7 |
| institution | Directory Open Access Journal |
| issn | 1687-1820 1687-1812 |
| language | English |
| last_indexed | 2024-12-17T23:40:00Z |
| publishDate | 2010-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Fixed Point Theory and Applications |
| spelling | doaj.art-13488defb07d449d81ea6263c226f1e72022-12-21T21:28:27ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122010-01-0120101189751On the Weak Relatively Nonexpansive Mappings in Banach SpacesSu YongfuXu Yongchun<p>Abstract</p> <p>In recent years, the definition of weak relatively nonexpansive mapping has been presented and studied by many authors. In this paper, we give some results about weak relatively nonexpansive mappings and give two examples which are weak relatively nonexpansive mappings but not relatively nonexpansive mappings in Banach space <inline-formula> <graphic file="1687-1812-2010-189751-i1.gif"/></inline-formula> and <inline-formula> <graphic file="1687-1812-2010-189751-i2.gif"/></inline-formula>.</p>http://www.fixedpointtheoryandapplications.com/content/2010/189751 |
| spellingShingle | Su Yongfu Xu Yongchun On the Weak Relatively Nonexpansive Mappings in Banach Spaces Fixed Point Theory and Applications |
| title | On the Weak Relatively Nonexpansive Mappings in Banach Spaces |
| title_full | On the Weak Relatively Nonexpansive Mappings in Banach Spaces |
| title_fullStr | On the Weak Relatively Nonexpansive Mappings in Banach Spaces |
| title_full_unstemmed | On the Weak Relatively Nonexpansive Mappings in Banach Spaces |
| title_short | On the Weak Relatively Nonexpansive Mappings in Banach Spaces |
| title_sort | on the weak relatively nonexpansive mappings in banach spaces |
| url | http://www.fixedpointtheoryandapplications.com/content/2010/189751 |
| work_keys_str_mv | AT suyongfu ontheweakrelativelynonexpansivemappingsinbanachspaces AT xuyongchun ontheweakrelativelynonexpansivemappingsinbanachspaces |