A hybrid method for a countable family of multivalued maps, equilibrium problems, and variational inequality problems
We introduce a new monotone hybrid iterative scheme for finding a common element of the set of common fixed points of a countable family of nonexpansive multivalued maps, the set of solutions of variational inequality problem, and the set of the solutions of the equilibrium problem in a Hilbert spac...
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th-cmuir.6653943832-62402014-08-30T03:24:00Z A hybrid method for a countable family of multivalued maps, equilibrium problems, and variational inequality problems Suantai S. Cholamjiak W. We introduce a new monotone hybrid iterative scheme for finding a common element of the set of common fixed points of a countable family of nonexpansive multivalued maps, the set of solutions of variational inequality problem, and the set of the solutions of the equilibrium problem in a Hilbert space. Strong convergence theorems of the purposed iteration are established. Copyright © 2010 W. Cholamjiak and S. Suantai. 2014-08-30T03:24:00Z 2014-08-30T03:24:00Z 2010 Article 10260226 10.1155/2010/349158 http://www.scopus.com/inward/record.url?eid=2-s2.0-77954475786&partnerID=40&md5=e54c7a7730c8ac8d6997292288aa5bf5 http://cmuir.cmu.ac.th/handle/6653943832/6240 English |
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English |
| description |
We introduce a new monotone hybrid iterative scheme for finding a common element of the set of common fixed points of a countable family of nonexpansive multivalued maps, the set of solutions of variational inequality problem, and the set of the solutions of the equilibrium problem in a Hilbert space. Strong convergence theorems of the purposed iteration are established. Copyright © 2010 W. Cholamjiak and S. Suantai. |
| format |
Article |
| author |
Suantai S. Cholamjiak W. |
| spellingShingle |
Suantai S. Cholamjiak W. A hybrid method for a countable family of multivalued maps, equilibrium problems, and variational inequality problems |
| author_facet |
Suantai S. Cholamjiak W. |
| author_sort |
Suantai S. |
| title |
A hybrid method for a countable family of multivalued maps, equilibrium problems, and variational inequality problems |
| title_short |
A hybrid method for a countable family of multivalued maps, equilibrium problems, and variational inequality problems |
| title_full |
A hybrid method for a countable family of multivalued maps, equilibrium problems, and variational inequality problems |
| title_fullStr |
A hybrid method for a countable family of multivalued maps, equilibrium problems, and variational inequality problems |
| title_full_unstemmed |
A hybrid method for a countable family of multivalued maps, equilibrium problems, and variational inequality problems |
| title_sort |
hybrid method for a countable family of multivalued maps, equilibrium problems, and variational inequality problems |
| publishDate |
2014 |
| url |
http://www.scopus.com/inward/record.url?eid=2-s2.0-77954475786&partnerID=40&md5=e54c7a7730c8ac8d6997292288aa5bf5 http://cmuir.cmu.ac.th/handle/6653943832/6240 |
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1681420576602718208 |