Existence of Fixed Points of Firmly Nonexpansive-Like Mappings in Banach Spaces
<p/> <p>The aim of this paper is to obtain some existence theorems related to a hybrid projection method and a hybrid shrinking projection method for firmly nonexpansive-like mappings (mappings of type (P)) in a Banach space. The class of mappings of type (P) contains the classes of reso...
| 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/2010/512751 |
| _version_ | 1819041331000901632 |
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| author | Kohsaka Fumiaki Aoyama Koji |
| author_facet | Kohsaka Fumiaki Aoyama Koji |
| author_sort | Kohsaka Fumiaki |
| collection | DOAJ |
| description | <p/> <p>The aim of this paper is to obtain some existence theorems related to a hybrid projection method and a hybrid shrinking projection method for firmly nonexpansive-like mappings (mappings of type (P)) in a Banach space. The class of mappings of type (P) contains the classes of resolvents of maximal monotone operators in Banach spaces and firmly nonexpansive mappings in Hilbert spaces.</p> |
| first_indexed | 2024-12-21T09:23:17Z |
| format | Article |
| id | doaj.art-a44b1b1a09a34a35b660fbb4d6c7e2d3 |
| institution | Directory Open Access Journal |
| issn | 1687-1820 1687-1812 |
| language | English |
| last_indexed | 2024-12-21T09:23:17Z |
| publishDate | 2010-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Fixed Point Theory and Applications |
| spelling | doaj.art-a44b1b1a09a34a35b660fbb4d6c7e2d32022-12-21T19:08:57ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122010-01-0120101512751Existence of Fixed Points of Firmly Nonexpansive-Like Mappings in Banach SpacesKohsaka FumiakiAoyama Koji<p/> <p>The aim of this paper is to obtain some existence theorems related to a hybrid projection method and a hybrid shrinking projection method for firmly nonexpansive-like mappings (mappings of type (P)) in a Banach space. The class of mappings of type (P) contains the classes of resolvents of maximal monotone operators in Banach spaces and firmly nonexpansive mappings in Hilbert spaces.</p>http://www.fixedpointtheoryandapplications.com/content/2010/512751 |
| spellingShingle | Kohsaka Fumiaki Aoyama Koji Existence of Fixed Points of Firmly Nonexpansive-Like Mappings in Banach Spaces Fixed Point Theory and Applications |
| title | Existence of Fixed Points of Firmly Nonexpansive-Like Mappings in Banach Spaces |
| title_full | Existence of Fixed Points of Firmly Nonexpansive-Like Mappings in Banach Spaces |
| title_fullStr | Existence of Fixed Points of Firmly Nonexpansive-Like Mappings in Banach Spaces |
| title_full_unstemmed | Existence of Fixed Points of Firmly Nonexpansive-Like Mappings in Banach Spaces |
| title_short | Existence of Fixed Points of Firmly Nonexpansive-Like Mappings in Banach Spaces |
| title_sort | existence of fixed points of firmly nonexpansive like mappings in banach spaces |
| url | http://www.fixedpointtheoryandapplications.com/content/2010/512751 |
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