Existence Solutions of Vector Equilibrium Problems and Fixed Point of Multivalued Mappings
Let K be a nonempty compact convex subset of a topological vector space. In this paper-sufficient conditions are given for the existence of x∈K such that F(T)∩VEP(F)≠∅, where F(T) is the set of all fixed points of the multivalued mapping T and VEP(F) is the set of all solutions for vector equilibriu...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/952021 |
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| _version_ | 1832566113454522368 |
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| author | Kanokwan Sitthithakerngkiet Somyot Plubtieng |
| author_facet | Kanokwan Sitthithakerngkiet Somyot Plubtieng |
| author_sort | Kanokwan Sitthithakerngkiet |
| collection | DOAJ |
| description | Let K be a nonempty compact convex subset of a topological vector space. In this paper-sufficient conditions are given for the existence of x∈K such that F(T)∩VEP(F)≠∅, where F(T) is the set of all fixed points of the multivalued mapping T and VEP(F) is the set of all solutions for vector equilibrium problem of the vector-valued mapping F. This leads us to generalize and improve some existence results in the recent references. |
| format | Article |
| id | doaj-art-135828f4de7c4c42aceed75680fba65a |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-135828f4de7c4c42aceed75680fba65a2025-02-03T01:04:58ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/952021952021Existence Solutions of Vector Equilibrium Problems and Fixed Point of Multivalued MappingsKanokwan Sitthithakerngkiet0Somyot Plubtieng1Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, ThailandDepartment of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, ThailandLet K be a nonempty compact convex subset of a topological vector space. In this paper-sufficient conditions are given for the existence of x∈K such that F(T)∩VEP(F)≠∅, where F(T) is the set of all fixed points of the multivalued mapping T and VEP(F) is the set of all solutions for vector equilibrium problem of the vector-valued mapping F. This leads us to generalize and improve some existence results in the recent references.http://dx.doi.org/10.1155/2013/952021 |
| spellingShingle | Kanokwan Sitthithakerngkiet Somyot Plubtieng Existence Solutions of Vector Equilibrium Problems and Fixed Point of Multivalued Mappings Abstract and Applied Analysis |
| title | Existence Solutions of Vector Equilibrium Problems and Fixed Point of Multivalued Mappings |
| title_full | Existence Solutions of Vector Equilibrium Problems and Fixed Point of Multivalued Mappings |
| title_fullStr | Existence Solutions of Vector Equilibrium Problems and Fixed Point of Multivalued Mappings |
| title_full_unstemmed | Existence Solutions of Vector Equilibrium Problems and Fixed Point of Multivalued Mappings |
| title_short | Existence Solutions of Vector Equilibrium Problems and Fixed Point of Multivalued Mappings |
| title_sort | existence solutions of vector equilibrium problems and fixed point of multivalued mappings |
| url | http://dx.doi.org/10.1155/2013/952021 |
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