A New Iterative Method for Equilibrium Problems and Fixed Point Problems
Introducing a new iterative method, we study the existence of a common element of the set of solutions of equilibrium problems for a family of monotone, Lipschitz-type continuous mappings and the sets of fixed points of two nonexpansive semigroups in a real Hilbert space. We establish strong converg...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/178053 |
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| _version_ | 1832564637334241280 |
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| author | Abdul Latif Mohammad Eslamian |
| author_facet | Abdul Latif Mohammad Eslamian |
| author_sort | Abdul Latif |
| collection | DOAJ |
| description | Introducing a new iterative method, we study the existence of a common element of the set of solutions of equilibrium problems for a family of monotone, Lipschitz-type continuous mappings and the sets of fixed points of two nonexpansive semigroups in a real Hilbert space. We establish strong convergence theorems of the new iterative method for the solution of the variational inequality problem which is the optimality condition for the minimization problem. Our results improve and generalize the corresponding recent results of Anh (2012), Cianciaruso et al. (2010), and many others. |
| format | Article |
| id | doaj-art-cfea0838d1d4467484b92cc4e9ac6d1e |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-cfea0838d1d4467484b92cc4e9ac6d1e2025-02-03T01:10:39ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/178053178053A New Iterative Method for Equilibrium Problems and Fixed Point ProblemsAbdul Latif0Mohammad Eslamian1Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Mazandaran University of Science and Technology, Behshahr, IranIntroducing a new iterative method, we study the existence of a common element of the set of solutions of equilibrium problems for a family of monotone, Lipschitz-type continuous mappings and the sets of fixed points of two nonexpansive semigroups in a real Hilbert space. We establish strong convergence theorems of the new iterative method for the solution of the variational inequality problem which is the optimality condition for the minimization problem. Our results improve and generalize the corresponding recent results of Anh (2012), Cianciaruso et al. (2010), and many others.http://dx.doi.org/10.1155/2013/178053 |
| spellingShingle | Abdul Latif Mohammad Eslamian A New Iterative Method for Equilibrium Problems and Fixed Point Problems Abstract and Applied Analysis |
| title | A New Iterative Method for Equilibrium Problems and Fixed Point Problems |
| title_full | A New Iterative Method for Equilibrium Problems and Fixed Point Problems |
| title_fullStr | A New Iterative Method for Equilibrium Problems and Fixed Point Problems |
| title_full_unstemmed | A New Iterative Method for Equilibrium Problems and Fixed Point Problems |
| title_short | A New Iterative Method for Equilibrium Problems and Fixed Point Problems |
| title_sort | new iterative method for equilibrium problems and fixed point problems |
| url | http://dx.doi.org/10.1155/2013/178053 |
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