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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2010-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2010/349158 |
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| _version_ | 1832545532553199616 |
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| author | Watcharaporn Cholamjiak Suthep Suantai |
| author_facet | Watcharaporn Cholamjiak Suthep Suantai |
| author_sort | Watcharaporn Cholamjiak |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-a84a10d5a9ed4c13ade1401350d697fa |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-a84a10d5a9ed4c13ade1401350d697fa2025-02-03T07:25:33ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2010-01-01201010.1155/2010/349158349158A Hybrid Method for a Countable Family of Multivalued Maps, Equilibrium Problems, and Variational Inequality ProblemsWatcharaporn Cholamjiak0Suthep Suantai1Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, ThailandDepartment of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, ThailandWe 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.http://dx.doi.org/10.1155/2010/349158 |
| spellingShingle | Watcharaporn Cholamjiak Suthep Suantai A Hybrid Method for a Countable Family of Multivalued Maps, Equilibrium Problems, and Variational Inequality Problems Discrete Dynamics in Nature and Society |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2010/349158 |
| work_keys_str_mv | AT watcharaporncholamjiak ahybridmethodforacountablefamilyofmultivaluedmapsequilibriumproblemsandvariationalinequalityproblems AT suthepsuantai ahybridmethodforacountablefamilyofmultivaluedmapsequilibriumproblemsandvariationalinequalityproblems AT watcharaporncholamjiak hybridmethodforacountablefamilyofmultivaluedmapsequilibriumproblemsandvariationalinequalityproblems AT suthepsuantai hybridmethodforacountablefamilyofmultivaluedmapsequilibriumproblemsandvariationalinequalityproblems |