Iterative Algorithms for Mixed Equilibrium Problems, System of Quasi-Variational Inclusion, and Fixed Point Problem in Hilbert Spaces
We introduce a new iterative algorithm for approximating a common element of the set of solutions for mixed equilibrium problems, the set of solutions of a system of quasi-variational inclusion, and the set of fixed points of an infinite family of nonexpansive mappings in a real Hilbert space. Stron...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/271208 |
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| _version_ | 1832561874357452800 |
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| author | Poom Kumam Thanyarat Jitpeera |
| author_facet | Poom Kumam Thanyarat Jitpeera |
| author_sort | Poom Kumam |
| collection | DOAJ |
| description | We introduce a new iterative algorithm for approximating a common element of the set
of solutions for mixed equilibrium problems, the set of solutions of a system of quasi-variational inclusion,
and the set of fixed points of an infinite family of nonexpansive mappings in a real Hilbert space. Strong
convergence of the proposed iterative algorithm is obtained. Our results generalize, extend, and improve
the results of Peng and Yao, 2009, Qin et al. 2010 and many authors. |
| format | Article |
| id | doaj-art-d4fb705481a54825ba44466235a7638a |
| 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-d4fb705481a54825ba44466235a7638a2025-02-03T01:24:05ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/271208271208Iterative Algorithms for Mixed Equilibrium Problems, System of Quasi-Variational Inclusion, and Fixed Point Problem in Hilbert SpacesPoom Kumam0Thanyarat Jitpeera1Computational Science and Engineering Research Cluster (CSEC), King Mongkut’s University of Technology Thonburi (KMUTT), Bang Mod, Thrung Khru, Bangkok 10140, ThailandDepartment of Mathematics, Faculty of Science and Agriculture, Rajamangala University of Technology Lanna, Phan, Chiangrai 57120, ThailandWe introduce a new iterative algorithm for approximating a common element of the set of solutions for mixed equilibrium problems, the set of solutions of a system of quasi-variational inclusion, and the set of fixed points of an infinite family of nonexpansive mappings in a real Hilbert space. Strong convergence of the proposed iterative algorithm is obtained. Our results generalize, extend, and improve the results of Peng and Yao, 2009, Qin et al. 2010 and many authors.http://dx.doi.org/10.1155/2014/271208 |
| spellingShingle | Poom Kumam Thanyarat Jitpeera Iterative Algorithms for Mixed Equilibrium Problems, System of Quasi-Variational Inclusion, and Fixed Point Problem in Hilbert Spaces Abstract and Applied Analysis |
| title | Iterative Algorithms for Mixed Equilibrium Problems, System of Quasi-Variational Inclusion, and Fixed Point Problem in Hilbert Spaces |
| title_full | Iterative Algorithms for Mixed Equilibrium Problems, System of Quasi-Variational Inclusion, and Fixed Point Problem in Hilbert Spaces |
| title_fullStr | Iterative Algorithms for Mixed Equilibrium Problems, System of Quasi-Variational Inclusion, and Fixed Point Problem in Hilbert Spaces |
| title_full_unstemmed | Iterative Algorithms for Mixed Equilibrium Problems, System of Quasi-Variational Inclusion, and Fixed Point Problem in Hilbert Spaces |
| title_short | Iterative Algorithms for Mixed Equilibrium Problems, System of Quasi-Variational Inclusion, and Fixed Point Problem in Hilbert Spaces |
| title_sort | iterative algorithms for mixed equilibrium problems system of quasi variational inclusion and fixed point problem in hilbert spaces |
| url | http://dx.doi.org/10.1155/2014/271208 |
| work_keys_str_mv | AT poomkumam iterativealgorithmsformixedequilibriumproblemssystemofquasivariationalinclusionandfixedpointprobleminhilbertspaces AT thanyaratjitpeera iterativealgorithmsformixedequilibriumproblemssystemofquasivariationalinclusionandfixedpointprobleminhilbertspaces |