Weak Convergence Theorems for Strictly Pseudocontractive Mappings and Generalized Mixed Equilibrium Problems
We introduce a new iterative method for finding a common element of the set of fixed points of a strictly pseudocontractive mapping, the set of solutions of a generalized mixed equilibrium problem, and the set of solutions of a variational inequality problem for an inverse-strongly-monotone mapping...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/384108 |
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| _version_ | 1832566209122402304 |
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| author | Jong Soo Jung |
| author_facet | Jong Soo Jung |
| author_sort | Jong Soo Jung |
| collection | DOAJ |
| description | We introduce a new iterative method for finding a common element of the set of fixed points of a strictly pseudocontractive mapping, the set of solutions of a generalized mixed equilibrium problem, and the set of solutions of a variational inequality problem for an inverse-strongly-monotone mapping in Hilbert spaces and then show that the sequence generated by the proposed iterative scheme converges weakly to a common element of the above three sets under suitable control conditions. The results in this paper substantially improve, develop, and complement the previous well-known results in this area. |
| format | Article |
| id | doaj-art-5f9126c77c174755aa49739e34e1edad |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-5f9126c77c174755aa49739e34e1edad2025-02-03T01:04:45ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/384108384108Weak Convergence Theorems for Strictly Pseudocontractive Mappings and Generalized Mixed Equilibrium ProblemsJong Soo Jung0Department of Mathematics, Dong-A University, Busan 604-714, Republic of KoreaWe introduce a new iterative method for finding a common element of the set of fixed points of a strictly pseudocontractive mapping, the set of solutions of a generalized mixed equilibrium problem, and the set of solutions of a variational inequality problem for an inverse-strongly-monotone mapping in Hilbert spaces and then show that the sequence generated by the proposed iterative scheme converges weakly to a common element of the above three sets under suitable control conditions. The results in this paper substantially improve, develop, and complement the previous well-known results in this area.http://dx.doi.org/10.1155/2012/384108 |
| spellingShingle | Jong Soo Jung Weak Convergence Theorems for Strictly Pseudocontractive Mappings and Generalized Mixed Equilibrium Problems Journal of Applied Mathematics |
| title | Weak Convergence Theorems for Strictly Pseudocontractive Mappings and Generalized Mixed Equilibrium Problems |
| title_full | Weak Convergence Theorems for Strictly Pseudocontractive Mappings and Generalized Mixed Equilibrium Problems |
| title_fullStr | Weak Convergence Theorems for Strictly Pseudocontractive Mappings and Generalized Mixed Equilibrium Problems |
| title_full_unstemmed | Weak Convergence Theorems for Strictly Pseudocontractive Mappings and Generalized Mixed Equilibrium Problems |
| title_short | Weak Convergence Theorems for Strictly Pseudocontractive Mappings and Generalized Mixed Equilibrium Problems |
| title_sort | weak convergence theorems for strictly pseudocontractive mappings and generalized mixed equilibrium problems |
| url | http://dx.doi.org/10.1155/2012/384108 |
| work_keys_str_mv | AT jongsoojung weakconvergencetheoremsforstrictlypseudocontractivemappingsandgeneralizedmixedequilibriumproblems |