Common Fixed Point Theorems on Weakly Contractive and Nonexpansive Mappings
<p/> <p>A family of commuting nonexpansive self-mappings, one of which is weakly contractive, are studied. Some convergence theorems are established for the iterations of types Krasnoselski-Mann, Kirk, and Ishikawa to approximate a common fixed point. The error estimates of these iterati...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2008-01-01
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| Series: | Fixed Point Theory and Applications |
| Online Access: | http://www.fixedpointtheoryandapplications.com/content/2008/469357 |
| _version_ | 1819011041351172096 |
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| author | Xiao Jian-Zhong Zhu Xing-Hua |
| author_facet | Xiao Jian-Zhong Zhu Xing-Hua |
| author_sort | Xiao Jian-Zhong |
| collection | DOAJ |
| description | <p/> <p>A family of commuting nonexpansive self-mappings, one of which is weakly contractive, are studied. Some convergence theorems are established for the iterations of types Krasnoselski-Mann, Kirk, and Ishikawa to approximate a common fixed point. The error estimates of these iterations are also given.</p> |
| first_indexed | 2024-12-21T01:21:51Z |
| format | Article |
| id | doaj.art-ced6e6423fcc41aab9e816e067ad1dc4 |
| institution | Directory Open Access Journal |
| issn | 1687-1820 1687-1812 |
| language | English |
| last_indexed | 2024-12-21T01:21:51Z |
| publishDate | 2008-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Fixed Point Theory and Applications |
| spelling | doaj.art-ced6e6423fcc41aab9e816e067ad1dc42022-12-21T19:20:38ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122008-01-0120081469357Common Fixed Point Theorems on Weakly Contractive and Nonexpansive MappingsXiao Jian-ZhongZhu Xing-Hua<p/> <p>A family of commuting nonexpansive self-mappings, one of which is weakly contractive, are studied. Some convergence theorems are established for the iterations of types Krasnoselski-Mann, Kirk, and Ishikawa to approximate a common fixed point. The error estimates of these iterations are also given.</p>http://www.fixedpointtheoryandapplications.com/content/2008/469357 |
| spellingShingle | Xiao Jian-Zhong Zhu Xing-Hua Common Fixed Point Theorems on Weakly Contractive and Nonexpansive Mappings Fixed Point Theory and Applications |
| title | Common Fixed Point Theorems on Weakly Contractive and Nonexpansive Mappings |
| title_full | Common Fixed Point Theorems on Weakly Contractive and Nonexpansive Mappings |
| title_fullStr | Common Fixed Point Theorems on Weakly Contractive and Nonexpansive Mappings |
| title_full_unstemmed | Common Fixed Point Theorems on Weakly Contractive and Nonexpansive Mappings |
| title_short | Common Fixed Point Theorems on Weakly Contractive and Nonexpansive Mappings |
| title_sort | common fixed point theorems on weakly contractive and nonexpansive mappings |
| url | http://www.fixedpointtheoryandapplications.com/content/2008/469357 |
| work_keys_str_mv | AT xiaojianzhong commonfixedpointtheoremsonweaklycontractiveandnonexpansivemappings AT zhuxinghua commonfixedpointtheoremsonweaklycontractiveandnonexpansivemappings |