Convergence Analysis for a System of Generalized Equilibrium Problems and a Countable Family of Strict Pseudocontractions
<p/> <p>We introduce a new iterative algorithm for a system of generalized equilibrium problems and a countable family of strict pseudocontractions in Hilbert spaces. We then prove that the sequence generated by the proposed algorithm converges strongly to a common element in the solutio...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2011-01-01
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| Series: | Fixed Point Theory and Applications |
| Online Access: | http://www.fixedpointtheoryandapplications.com/content/2011/941090 |
| _version_ | 1798034997415772160 |
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| author | Cholamjiak Prasit Suantai Suthep |
| author_facet | Cholamjiak Prasit Suantai Suthep |
| author_sort | Cholamjiak Prasit |
| collection | DOAJ |
| description | <p/> <p>We introduce a new iterative algorithm for a system of generalized equilibrium problems and a countable family of strict pseudocontractions in Hilbert spaces. We then prove that the sequence generated by the proposed algorithm converges strongly to a common element in the solutions set of a system of generalized equilibrium problems and the common fixed points set of an infinitely countable family of strict pseudocontractions.</p> |
| first_indexed | 2024-04-11T20:51:02Z |
| format | Article |
| id | doaj.art-7c78e9edd5104e96a438c99e44b5cdc2 |
| institution | Directory Open Access Journal |
| issn | 1687-1820 1687-1812 |
| language | English |
| last_indexed | 2024-04-11T20:51:02Z |
| publishDate | 2011-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Fixed Point Theory and Applications |
| spelling | doaj.art-7c78e9edd5104e96a438c99e44b5cdc22022-12-22T04:03:50ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122011-01-0120111941090Convergence Analysis for a System of Generalized Equilibrium Problems and a Countable Family of Strict PseudocontractionsCholamjiak PrasitSuantai Suthep<p/> <p>We introduce a new iterative algorithm for a system of generalized equilibrium problems and a countable family of strict pseudocontractions in Hilbert spaces. We then prove that the sequence generated by the proposed algorithm converges strongly to a common element in the solutions set of a system of generalized equilibrium problems and the common fixed points set of an infinitely countable family of strict pseudocontractions.</p>http://www.fixedpointtheoryandapplications.com/content/2011/941090 |
| spellingShingle | Cholamjiak Prasit Suantai Suthep Convergence Analysis for a System of Generalized Equilibrium Problems and a Countable Family of Strict Pseudocontractions Fixed Point Theory and Applications |
| title | Convergence Analysis for a System of Generalized Equilibrium Problems and a Countable Family of Strict Pseudocontractions |
| title_full | Convergence Analysis for a System of Generalized Equilibrium Problems and a Countable Family of Strict Pseudocontractions |
| title_fullStr | Convergence Analysis for a System of Generalized Equilibrium Problems and a Countable Family of Strict Pseudocontractions |
| title_full_unstemmed | Convergence Analysis for a System of Generalized Equilibrium Problems and a Countable Family of Strict Pseudocontractions |
| title_short | Convergence Analysis for a System of Generalized Equilibrium Problems and a Countable Family of Strict Pseudocontractions |
| title_sort | convergence analysis for a system of generalized equilibrium problems and a countable family of strict pseudocontractions |
| url | http://www.fixedpointtheoryandapplications.com/content/2011/941090 |
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