Viscosity-Projection Method for a Family of General Equilibrium Problems and Asymptotically Strict Pseudocontractions in the Intermediate Sense
In this paper, a Meir-Keeler contraction is introduced to propose a viscosity-projection approximation method for finding a common element of the set of solutions of a family of general equilibrium problems and the set of fixed points of asymptotically strict pseudocontractions in the intermediate s...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2013/608241 |
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| _version_ | 1832567628600705024 |
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| author | Dao-Jun Wen |
| author_facet | Dao-Jun Wen |
| author_sort | Dao-Jun Wen |
| collection | DOAJ |
| description | In this paper, a Meir-Keeler contraction is introduced to propose a viscosity-projection approximation method for finding a common element of the set of solutions of a family of general equilibrium problems and the set of fixed points of asymptotically strict pseudocontractions in the intermediate sense. Strong convergence of the viscosity iterative sequences is obtained under some suitable conditions. Results presented in this paper extend and unify the previously known results announced by many other authors. |
| format | Article |
| id | doaj-art-fb9d4f3eb70d4750afc3823379e01bb7 |
| institution | Kabale University |
| issn | 1537-744X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-fb9d4f3eb70d4750afc3823379e01bb72025-02-03T01:01:10ZengWileyThe Scientific World Journal1537-744X2013-01-01201310.1155/2013/608241608241Viscosity-Projection Method for a Family of General Equilibrium Problems and Asymptotically Strict Pseudocontractions in the Intermediate SenseDao-Jun Wen0College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, ChinaIn this paper, a Meir-Keeler contraction is introduced to propose a viscosity-projection approximation method for finding a common element of the set of solutions of a family of general equilibrium problems and the set of fixed points of asymptotically strict pseudocontractions in the intermediate sense. Strong convergence of the viscosity iterative sequences is obtained under some suitable conditions. Results presented in this paper extend and unify the previously known results announced by many other authors.http://dx.doi.org/10.1155/2013/608241 |
| spellingShingle | Dao-Jun Wen Viscosity-Projection Method for a Family of General Equilibrium Problems and Asymptotically Strict Pseudocontractions in the Intermediate Sense The Scientific World Journal |
| title | Viscosity-Projection Method for a Family of General Equilibrium Problems and Asymptotically Strict Pseudocontractions in the Intermediate Sense |
| title_full | Viscosity-Projection Method for a Family of General Equilibrium Problems and Asymptotically Strict Pseudocontractions in the Intermediate Sense |
| title_fullStr | Viscosity-Projection Method for a Family of General Equilibrium Problems and Asymptotically Strict Pseudocontractions in the Intermediate Sense |
| title_full_unstemmed | Viscosity-Projection Method for a Family of General Equilibrium Problems and Asymptotically Strict Pseudocontractions in the Intermediate Sense |
| title_short | Viscosity-Projection Method for a Family of General Equilibrium Problems and Asymptotically Strict Pseudocontractions in the Intermediate Sense |
| title_sort | viscosity projection method for a family of general equilibrium problems and asymptotically strict pseudocontractions in the intermediate sense |
| url | http://dx.doi.org/10.1155/2013/608241 |
| work_keys_str_mv | AT daojunwen viscosityprojectionmethodforafamilyofgeneralequilibriumproblemsandasymptoticallystrictpseudocontractionsintheintermediatesense |