A New Computational Technique for Common Solutions between Systems of Generalized Mixed Equilibrium and Fixed Point Problems
We introduce a new iterative algorithm for finding a common element of a fixed point problem of amenable semigroups of nonexpansive mappings, the set solutions of a system of a general system of generalized equilibria in a real Hilbert space. Then, we prove the strong convergence of the proposed ite...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/230392 |
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| _version_ | 1832564543891439616 |
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| author | Pongsakorn Sunthrayuth Poom Kumam |
| author_facet | Pongsakorn Sunthrayuth Poom Kumam |
| author_sort | Pongsakorn Sunthrayuth |
| collection | DOAJ |
| description | We introduce a new iterative algorithm for finding a common element of a fixed point problem of amenable semigroups of nonexpansive mappings, the set solutions of a system of a general
system of generalized equilibria in a real Hilbert space. Then, we prove the strong convergence of the proposed iterative algorithm to a common element of the above three sets under some suitable conditions. As applications, at the end of the paper, we apply our results to find the minimum-norm solutions which solve some quadratic minimization problems. The results obtained in this paper extend and improve many recent ones announced by many others. |
| format | Article |
| id | doaj-art-726bbbf55bf345d3b4fea8d3ff4779cf |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-726bbbf55bf345d3b4fea8d3ff4779cf2025-02-03T01:10:50ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/230392230392A New Computational Technique for Common Solutions between Systems of Generalized Mixed Equilibrium and Fixed Point ProblemsPongsakorn Sunthrayuth0Poom Kumam1Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), Bang Mod, Bangkok 10140, ThailandDepartment of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), Bang Mod, Bangkok 10140, ThailandWe introduce a new iterative algorithm for finding a common element of a fixed point problem of amenable semigroups of nonexpansive mappings, the set solutions of a system of a general system of generalized equilibria in a real Hilbert space. Then, we prove the strong convergence of the proposed iterative algorithm to a common element of the above three sets under some suitable conditions. As applications, at the end of the paper, we apply our results to find the minimum-norm solutions which solve some quadratic minimization problems. The results obtained in this paper extend and improve many recent ones announced by many others.http://dx.doi.org/10.1155/2013/230392 |
| spellingShingle | Pongsakorn Sunthrayuth Poom Kumam A New Computational Technique for Common Solutions between Systems of Generalized Mixed Equilibrium and Fixed Point Problems Journal of Applied Mathematics |
| title | A New Computational Technique for Common Solutions between Systems of Generalized Mixed Equilibrium and Fixed Point Problems |
| title_full | A New Computational Technique for Common Solutions between Systems of Generalized Mixed Equilibrium and Fixed Point Problems |
| title_fullStr | A New Computational Technique for Common Solutions between Systems of Generalized Mixed Equilibrium and Fixed Point Problems |
| title_full_unstemmed | A New Computational Technique for Common Solutions between Systems of Generalized Mixed Equilibrium and Fixed Point Problems |
| title_short | A New Computational Technique for Common Solutions between Systems of Generalized Mixed Equilibrium and Fixed Point Problems |
| title_sort | new computational technique for common solutions between systems of generalized mixed equilibrium and fixed point problems |
| url | http://dx.doi.org/10.1155/2013/230392 |
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