Mixed Equilibrium Problems with Weakly Relaxed α-Monotone Bifunction in Banach Spaces
We introduce the class of mixed equilibrium problems with the weakly relaxed α-monotone bi-function in Banach spaces. Using the KKM technique, we obtain the existence of solutions for mixed equilibrium problem with weakly relaxed α-monotone bi-function in Banach spaces. The results presented in this...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2013/374268 |
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| _version_ | 1850226125850017792 |
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| author | Wutiphol Sintunavarat |
| author_facet | Wutiphol Sintunavarat |
| author_sort | Wutiphol Sintunavarat |
| collection | DOAJ |
| description | We introduce the class of mixed equilibrium problems with the weakly relaxed α-monotone bi-function in Banach spaces. Using the KKM technique, we obtain the existence of solutions for mixed equilibrium problem with weakly relaxed α-monotone bi-function in Banach spaces. The results presented in this paper extend and improve the corresponding results in the existing literature. |
| format | Article |
| id | doaj-art-5eb8f9baa26e4af3b82f01c2c854f065 |
| institution | OA Journals |
| issn | 0972-6802 1758-4965 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-5eb8f9baa26e4af3b82f01c2c854f0652025-08-20T02:05:10ZengWileyJournal of Function Spaces and Applications0972-68021758-49652013-01-01201310.1155/2013/374268374268Mixed Equilibrium Problems with Weakly Relaxed α-Monotone Bifunction in Banach SpacesWutiphol Sintunavarat0Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University Rangsit Center, Pathumthani 12121, ThailandWe introduce the class of mixed equilibrium problems with the weakly relaxed α-monotone bi-function in Banach spaces. Using the KKM technique, we obtain the existence of solutions for mixed equilibrium problem with weakly relaxed α-monotone bi-function in Banach spaces. The results presented in this paper extend and improve the corresponding results in the existing literature.http://dx.doi.org/10.1155/2013/374268 |
| spellingShingle | Wutiphol Sintunavarat Mixed Equilibrium Problems with Weakly Relaxed α-Monotone Bifunction in Banach Spaces Journal of Function Spaces and Applications |
| title | Mixed Equilibrium Problems with Weakly Relaxed α-Monotone Bifunction in Banach Spaces |
| title_full | Mixed Equilibrium Problems with Weakly Relaxed α-Monotone Bifunction in Banach Spaces |
| title_fullStr | Mixed Equilibrium Problems with Weakly Relaxed α-Monotone Bifunction in Banach Spaces |
| title_full_unstemmed | Mixed Equilibrium Problems with Weakly Relaxed α-Monotone Bifunction in Banach Spaces |
| title_short | Mixed Equilibrium Problems with Weakly Relaxed α-Monotone Bifunction in Banach Spaces |
| title_sort | mixed equilibrium problems with weakly relaxed α monotone bifunction in banach spaces |
| url | http://dx.doi.org/10.1155/2013/374268 |
| work_keys_str_mv | AT wutipholsintunavarat mixedequilibriumproblemswithweaklyrelaxedamonotonebifunctioninbanachspaces |