General Iterative Algorithm for Nonexpansive Semigroups and Variational Inequalities in Hilbert Spaces
<p>Abstract</p> <p>We introduce a general iterative method for finding the solution of the variational inequality problem over the fixed point set of a nonexpansive semigroup in a Hilbert space. We prove that the sequence converges strongly to a common element of the above two sets...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2010-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2010/264052 |
| _version_ | 1818684434617991168 |
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| author | Kang Jinlong Su Yongfu Zhang Xin |
| author_facet | Kang Jinlong Su Yongfu Zhang Xin |
| author_sort | Kang Jinlong |
| collection | DOAJ |
| description | <p>Abstract</p> <p>We introduce a general iterative method for finding the solution of the variational inequality problem over the fixed point set of a nonexpansive semigroup in a Hilbert space. We prove that the sequence converges strongly to a common element of the above two sets under some parameters controlling conditions. Our results improve and generalize many known corresponding results.</p> |
| first_indexed | 2024-12-17T10:50:34Z |
| format | Article |
| id | doaj.art-b779e61ce195434bab658d759c45b5b9 |
| institution | Directory Open Access Journal |
| issn | 1025-5834 1029-242X |
| language | English |
| last_indexed | 2024-12-17T10:50:34Z |
| publishDate | 2010-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-b779e61ce195434bab658d759c45b5b92022-12-21T21:52:00ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2010-01-0120101264052General Iterative Algorithm for Nonexpansive Semigroups and Variational Inequalities in Hilbert SpacesKang JinlongSu YongfuZhang Xin<p>Abstract</p> <p>We introduce a general iterative method for finding the solution of the variational inequality problem over the fixed point set of a nonexpansive semigroup in a Hilbert space. We prove that the sequence converges strongly to a common element of the above two sets under some parameters controlling conditions. Our results improve and generalize many known corresponding results.</p>http://www.journalofinequalitiesandapplications.com/content/2010/264052 |
| spellingShingle | Kang Jinlong Su Yongfu Zhang Xin General Iterative Algorithm for Nonexpansive Semigroups and Variational Inequalities in Hilbert Spaces Journal of Inequalities and Applications |
| title | General Iterative Algorithm for Nonexpansive Semigroups and Variational Inequalities in Hilbert Spaces |
| title_full | General Iterative Algorithm for Nonexpansive Semigroups and Variational Inequalities in Hilbert Spaces |
| title_fullStr | General Iterative Algorithm for Nonexpansive Semigroups and Variational Inequalities in Hilbert Spaces |
| title_full_unstemmed | General Iterative Algorithm for Nonexpansive Semigroups and Variational Inequalities in Hilbert Spaces |
| title_short | General Iterative Algorithm for Nonexpansive Semigroups and Variational Inequalities in Hilbert Spaces |
| title_sort | general iterative algorithm for nonexpansive semigroups and variational inequalities in hilbert spaces |
| url | http://www.journalofinequalitiesandapplications.com/content/2010/264052 |
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