Strong Convergence for Mixed Equilibrium Problems of Infinitely Nonexpansive Mappings
<p/> <p>We introduce a new iterative scheme for finding a common element of infinitely nonexpansive mappings, the set of solutions of a mixed equilibrium problems, and the set of solutions of the variational inequality for an <inline-formula> <graphic file="1687-1812-2010-7...
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2010-01-01
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| Series: | Fixed Point Theory and Applications |
| Online Access: | http://www.fixedpointtheoryandapplications.com/content/2010/756492 |
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doaj-fdfeaca139274e3ba342ae050c0b03b42020-11-24T21:53:38ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122010-01-0120101756492Strong Convergence for Mixed Equilibrium Problems of Infinitely Nonexpansive MappingsJoomwong Jintana<p/> <p>We introduce a new iterative scheme for finding a common element of infinitely nonexpansive mappings, the set of solutions of a mixed equilibrium problems, and the set of solutions of the variational inequality for an <inline-formula> <graphic file="1687-1812-2010-756492-i1.gif"/></inline-formula>-inverse-strongly monotone mapping in a Hilbert Space. Then, the strong converge theorem is proved under some parameter controlling conditions. The results of this paper extend and improve the results of Jing Zhao and Songnian He(2009)and many others. Using this theorem, we obtain some interesting corollaries.</p>http://www.fixedpointtheoryandapplications.com/content/2010/756492 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Joomwong Jintana |
| spellingShingle |
Joomwong Jintana Strong Convergence for Mixed Equilibrium Problems of Infinitely Nonexpansive Mappings Fixed Point Theory and Applications |
| author_facet |
Joomwong Jintana |
| author_sort |
Joomwong Jintana |
| title |
Strong Convergence for Mixed Equilibrium Problems of Infinitely Nonexpansive Mappings |
| title_short |
Strong Convergence for Mixed Equilibrium Problems of Infinitely Nonexpansive Mappings |
| title_full |
Strong Convergence for Mixed Equilibrium Problems of Infinitely Nonexpansive Mappings |
| title_fullStr |
Strong Convergence for Mixed Equilibrium Problems of Infinitely Nonexpansive Mappings |
| title_full_unstemmed |
Strong Convergence for Mixed Equilibrium Problems of Infinitely Nonexpansive Mappings |
| title_sort |
strong convergence for mixed equilibrium problems of infinitely nonexpansive mappings |
| publisher |
SpringerOpen |
| series |
Fixed Point Theory and Applications |
| issn |
1687-1820 1687-1812 |
| publishDate |
2010-01-01 |
| description |
<p/> <p>We introduce a new iterative scheme for finding a common element of infinitely nonexpansive mappings, the set of solutions of a mixed equilibrium problems, and the set of solutions of the variational inequality for an <inline-formula> <graphic file="1687-1812-2010-756492-i1.gif"/></inline-formula>-inverse-strongly monotone mapping in a Hilbert Space. Then, the strong converge theorem is proved under some parameter controlling conditions. The results of this paper extend and improve the results of Jing Zhao and Songnian He(2009)and many others. Using this theorem, we obtain some interesting corollaries.</p> |
| url |
http://www.fixedpointtheoryandapplications.com/content/2010/756492 |
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AT joomwongjintana strongconvergenceformixedequilibriumproblemsofinfinitelynonexpansivemappings |
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1716630959383642112 |