Generalized Mixed Equilibria, Variational Inclusions, and Fixed Point Problems
We propose two iterative algorithms for finding a common element of the set of solutions of finite generalized mixed equilibrium problems, the set of solutions of finite variational inclusions for maximal monotone and inverse strong monotone mappings, and the set of common fixed points of infinite n...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/251065 |
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| _version_ | 1832555328937394176 |
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| author | A. E. Al-Mazrooei A. S. M. Alofi A. Latif J.-C. Yao |
| author_facet | A. E. Al-Mazrooei A. S. M. Alofi A. Latif J.-C. Yao |
| author_sort | A. E. Al-Mazrooei |
| collection | DOAJ |
| description | We propose two iterative algorithms for finding a common element of the set of solutions of finite generalized mixed equilibrium problems, the set of solutions of finite variational inclusions for maximal monotone and inverse strong monotone mappings, and the set of common fixed points of infinite nonexpansive mappings and an asymptotically κ-strict pseudocontractive mapping in the intermediate sense in a real Hilbert space. We prove some strong and weak convergence theorems for the proposed iterative algorithms under suitable conditions. |
| format | Article |
| id | doaj-art-14fc30a69a3c49dcb072bc86178ea947 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-14fc30a69a3c49dcb072bc86178ea9472025-02-03T05:48:28ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/251065251065Generalized Mixed Equilibria, Variational Inclusions, and Fixed Point ProblemsA. E. Al-Mazrooei0A. S. M. Alofi1A. Latif2J.-C. Yao3Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaWe propose two iterative algorithms for finding a common element of the set of solutions of finite generalized mixed equilibrium problems, the set of solutions of finite variational inclusions for maximal monotone and inverse strong monotone mappings, and the set of common fixed points of infinite nonexpansive mappings and an asymptotically κ-strict pseudocontractive mapping in the intermediate sense in a real Hilbert space. We prove some strong and weak convergence theorems for the proposed iterative algorithms under suitable conditions.http://dx.doi.org/10.1155/2014/251065 |
| spellingShingle | A. E. Al-Mazrooei A. S. M. Alofi A. Latif J.-C. Yao Generalized Mixed Equilibria, Variational Inclusions, and Fixed Point Problems Abstract and Applied Analysis |
| title | Generalized Mixed Equilibria, Variational Inclusions, and Fixed Point Problems |
| title_full | Generalized Mixed Equilibria, Variational Inclusions, and Fixed Point Problems |
| title_fullStr | Generalized Mixed Equilibria, Variational Inclusions, and Fixed Point Problems |
| title_full_unstemmed | Generalized Mixed Equilibria, Variational Inclusions, and Fixed Point Problems |
| title_short | Generalized Mixed Equilibria, Variational Inclusions, and Fixed Point Problems |
| title_sort | generalized mixed equilibria variational inclusions and fixed point problems |
| url | http://dx.doi.org/10.1155/2014/251065 |
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