Convergence analysis for a system of generalized equilibrium problems and a countable family of strict pseudocontractions
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 o...
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th-cmuir.6653943832-65942014-08-30T03:24:23Z Convergence analysis for a system of generalized equilibrium problems and a countable family of strict pseudocontractions Suantai S. Cholamjiak 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. Copyright © 2011 Prasit Cholamjiak and Suthep Suantai. 2014-08-30T03:24:23Z 2014-08-30T03:24:23Z 2011 Article 16871820 10.1155/2011/941090 http://www.scopus.com/inward/record.url?eid=2-s2.0-79952178450&partnerID=40&md5=77f362143f4c5598e6ddb83a4d541460 http://cmuir.cmu.ac.th/handle/6653943832/6594 English |
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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. Copyright © 2011 Prasit Cholamjiak and Suthep Suantai. |
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Article |
author |
Suantai S. Cholamjiak P. |
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Suantai S. Cholamjiak P. Convergence analysis for a system of generalized equilibrium problems and a countable family of strict pseudocontractions |
author_facet |
Suantai S. Cholamjiak P. |
author_sort |
Suantai S. |
title |
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_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_sort |
convergence analysis for a system of generalized equilibrium problems and a countable family of strict pseudocontractions |
publishDate |
2014 |
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http://www.scopus.com/inward/record.url?eid=2-s2.0-79952178450&partnerID=40&md5=77f362143f4c5598e6ddb83a4d541460 http://cmuir.cmu.ac.th/handle/6653943832/6594 |
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