Two New Iterative Methods for a Countable Family of Nonexpansive Mappings in Hilbert Spaces
<p/> <p>We consider two new iterative methods for a countable family of nonexpansive mappings in Hilbert spaces. We proved that the proposed algorithms strongly converge to a common fixed point of a countable family of nonexpansive mappings which solves the corresponding variational ineq...
| 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/2010/852030 |
| _version_ | 1819141103360671744 |
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| author | Hu Changsong Wang Shuang |
| author_facet | Hu Changsong Wang Shuang |
| author_sort | Hu Changsong |
| collection | DOAJ |
| description | <p/> <p>We consider two new iterative methods for a countable family of nonexpansive mappings in Hilbert spaces. We proved that the proposed algorithms strongly converge to a common fixed point of a countable family of nonexpansive mappings which solves the corresponding variational inequality. Our results improve and extend the corresponding ones announced by many others.</p> |
| first_indexed | 2024-12-22T11:49:08Z |
| format | Article |
| id | doaj.art-abeab47a33374fdabc0845faec0e5d90 |
| institution | Directory Open Access Journal |
| issn | 1687-1820 1687-1812 |
| language | English |
| last_indexed | 2024-12-22T11:49:08Z |
| publishDate | 2010-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Fixed Point Theory and Applications |
| spelling | doaj.art-abeab47a33374fdabc0845faec0e5d902022-12-21T18:27:04ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122010-01-0120101852030Two New Iterative Methods for a Countable Family of Nonexpansive Mappings in Hilbert SpacesHu ChangsongWang Shuang<p/> <p>We consider two new iterative methods for a countable family of nonexpansive mappings in Hilbert spaces. We proved that the proposed algorithms strongly converge to a common fixed point of a countable family of nonexpansive mappings which solves the corresponding variational inequality. Our results improve and extend the corresponding ones announced by many others.</p>http://www.fixedpointtheoryandapplications.com/content/2010/852030 |
| spellingShingle | Hu Changsong Wang Shuang Two New Iterative Methods for a Countable Family of Nonexpansive Mappings in Hilbert Spaces Fixed Point Theory and Applications |
| title | Two New Iterative Methods for a Countable Family of Nonexpansive Mappings in Hilbert Spaces |
| title_full | Two New Iterative Methods for a Countable Family of Nonexpansive Mappings in Hilbert Spaces |
| title_fullStr | Two New Iterative Methods for a Countable Family of Nonexpansive Mappings in Hilbert Spaces |
| title_full_unstemmed | Two New Iterative Methods for a Countable Family of Nonexpansive Mappings in Hilbert Spaces |
| title_short | Two New Iterative Methods for a Countable Family of Nonexpansive Mappings in Hilbert Spaces |
| title_sort | two new iterative methods for a countable family of nonexpansive mappings in hilbert spaces |
| url | http://www.fixedpointtheoryandapplications.com/content/2010/852030 |
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