Strong Convergence to Common Fixed Points of Countable Relatively Quasi-Nonexpansive Mappings
<p/> <p>We prove that a sequence generated by the monotone CQ-method converges strongly to a common fixed point of a countable family of relatively quasi-nonexpansive mappings in a uniformly convex and uniformly smooth Banach space. Our result is applicable to a wide class of mappings.&l...
| 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/2008/312454 |
| _version_ | 1819045848617582592 |
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| author | Saejung Satit Nilsrakoo Weerayuth |
| author_facet | Saejung Satit Nilsrakoo Weerayuth |
| author_sort | Saejung Satit |
| collection | DOAJ |
| description | <p/> <p>We prove that a sequence generated by the monotone CQ-method converges strongly to a common fixed point of a countable family of relatively quasi-nonexpansive mappings in a uniformly convex and uniformly smooth Banach space. Our result is applicable to a wide class of mappings.</p> |
| first_indexed | 2024-12-21T10:35:06Z |
| format | Article |
| id | doaj.art-98eabcfcdac445e38f84775c0c948fa2 |
| institution | Directory Open Access Journal |
| issn | 1687-1820 1687-1812 |
| language | English |
| last_indexed | 2024-12-21T10:35:06Z |
| publishDate | 2008-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Fixed Point Theory and Applications |
| spelling | doaj.art-98eabcfcdac445e38f84775c0c948fa22022-12-21T19:07:06ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122008-01-0120081312454Strong Convergence to Common Fixed Points of Countable Relatively Quasi-Nonexpansive MappingsSaejung SatitNilsrakoo Weerayuth<p/> <p>We prove that a sequence generated by the monotone CQ-method converges strongly to a common fixed point of a countable family of relatively quasi-nonexpansive mappings in a uniformly convex and uniformly smooth Banach space. Our result is applicable to a wide class of mappings.</p>http://www.fixedpointtheoryandapplications.com/content/2008/312454 |
| spellingShingle | Saejung Satit Nilsrakoo Weerayuth Strong Convergence to Common Fixed Points of Countable Relatively Quasi-Nonexpansive Mappings Fixed Point Theory and Applications |
| title | Strong Convergence to Common Fixed Points of Countable Relatively Quasi-Nonexpansive Mappings |
| title_full | Strong Convergence to Common Fixed Points of Countable Relatively Quasi-Nonexpansive Mappings |
| title_fullStr | Strong Convergence to Common Fixed Points of Countable Relatively Quasi-Nonexpansive Mappings |
| title_full_unstemmed | Strong Convergence to Common Fixed Points of Countable Relatively Quasi-Nonexpansive Mappings |
| title_short | Strong Convergence to Common Fixed Points of Countable Relatively Quasi-Nonexpansive Mappings |
| title_sort | strong convergence to common fixed points of countable relatively quasi nonexpansive mappings |
| url | http://www.fixedpointtheoryandapplications.com/content/2008/312454 |
| work_keys_str_mv | AT saejungsatit strongconvergencetocommonfixedpointsofcountablerelativelyquasinonexpansivemappings AT nilsrakooweerayuth strongconvergencetocommonfixedpointsofcountablerelativelyquasinonexpansivemappings |