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.6653943832-509902018-09-04T04:49:30Z A hybrid method for a countable family of multivalued maps, equilibrium problems, and variational inequality problems Suthep Suantai Watcharaporn Cholamjiak Mathematics 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. 2018-09-04T04:49:30Z 2018-09-04T04:49:30Z 2010-07-16 Journal 1607887X 10260226 2-s2.0-77954475786 10.1155/2010/349158 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=77954475786&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50990 |
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Chiang Mai University Library |
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Thailand |
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Mathematics |
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Mathematics Suthep Suantai Watcharaporn Cholamjiak A hybrid method for a countable family of multivalued maps, equilibrium problems, and variational inequality problems |
| 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 |
Journal |
| author |
Suthep Suantai Watcharaporn Cholamjiak |
| author_facet |
Suthep Suantai Watcharaporn Cholamjiak |
| author_sort |
Suthep Suantai |
| 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 |
2018 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=77954475786&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50990 |
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