A New Hybrid Algorithm for Solving a System of Generalized Mixed Equilibrium Problems, Solving a Family of Quasi-𝜙-Asymptotically Nonexpansive Mappings, and Obtaining Common Fixed Points in Banach Space
The main purpose of this paper is to introduce a new hybrid iterative scheme for finding a common element of set of solutions for a system of generalized mixed equilibrium problems, set of common fixed points of a family of quasi-𝜙-asymptotically nonexpansive mappings, and null spaces of finite fami...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2011/106323 |
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| _version_ | 1832547506311921664 |
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| author | J. F. Tan S. S. Chang |
| author_facet | J. F. Tan S. S. Chang |
| author_sort | J. F. Tan |
| collection | DOAJ |
| description | The main purpose of this paper is to introduce a new hybrid iterative scheme for finding a common element of set of solutions for a system of generalized mixed equilibrium problems, set of common fixed points of a family of quasi-𝜙-asymptotically nonexpansive mappings, and null spaces of finite family of 𝛾-inverse strongly monotone mappings in a
2-uniformly convex and uniformly smooth real Banach space. The results presented in the paper improve and extend the corresponding results announced by some authors. |
| format | Article |
| id | doaj-art-53ba25b16d09464fa7ae7f99c288a1cb |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-53ba25b16d09464fa7ae7f99c288a1cb2025-02-03T06:44:36ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252011-01-01201110.1155/2011/106323106323A New Hybrid Algorithm for Solving a System of Generalized Mixed Equilibrium Problems, Solving a Family of Quasi-𝜙-Asymptotically Nonexpansive Mappings, and Obtaining Common Fixed Points in Banach SpaceJ. F. Tan0S. S. Chang1Department of Mathematics, Yibin University, Yibin, Sichuan 644007, ChinaDepartment of Mathematics, Yibin University, Yibin, Sichuan 644007, ChinaThe main purpose of this paper is to introduce a new hybrid iterative scheme for finding a common element of set of solutions for a system of generalized mixed equilibrium problems, set of common fixed points of a family of quasi-𝜙-asymptotically nonexpansive mappings, and null spaces of finite family of 𝛾-inverse strongly monotone mappings in a 2-uniformly convex and uniformly smooth real Banach space. The results presented in the paper improve and extend the corresponding results announced by some authors.http://dx.doi.org/10.1155/2011/106323 |
| spellingShingle | J. F. Tan S. S. Chang A New Hybrid Algorithm for Solving a System of Generalized Mixed Equilibrium Problems, Solving a Family of Quasi-𝜙-Asymptotically Nonexpansive Mappings, and Obtaining Common Fixed Points in Banach Space International Journal of Mathematics and Mathematical Sciences |
| title | A New Hybrid Algorithm for Solving a System of Generalized Mixed Equilibrium Problems, Solving a Family of Quasi-𝜙-Asymptotically Nonexpansive Mappings, and Obtaining Common Fixed Points in Banach Space |
| title_full | A New Hybrid Algorithm for Solving a System of Generalized Mixed Equilibrium Problems, Solving a Family of Quasi-𝜙-Asymptotically Nonexpansive Mappings, and Obtaining Common Fixed Points in Banach Space |
| title_fullStr | A New Hybrid Algorithm for Solving a System of Generalized Mixed Equilibrium Problems, Solving a Family of Quasi-𝜙-Asymptotically Nonexpansive Mappings, and Obtaining Common Fixed Points in Banach Space |
| title_full_unstemmed | A New Hybrid Algorithm for Solving a System of Generalized Mixed Equilibrium Problems, Solving a Family of Quasi-𝜙-Asymptotically Nonexpansive Mappings, and Obtaining Common Fixed Points in Banach Space |
| title_short | A New Hybrid Algorithm for Solving a System of Generalized Mixed Equilibrium Problems, Solving a Family of Quasi-𝜙-Asymptotically Nonexpansive Mappings, and Obtaining Common Fixed Points in Banach Space |
| title_sort | new hybrid algorithm for solving a system of generalized mixed equilibrium problems solving a family of quasi 𝜙 asymptotically nonexpansive mappings and obtaining common fixed points in banach space |
| url | http://dx.doi.org/10.1155/2011/106323 |
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