Existence Results for Strong Mixed Vector Equilibrium Problem for Multivalued Mappings
We consider a strong mixed vector equilibrium problem in topological vector spaces. Using generalized Fan-Browder fixed point theorem (Takahashi 1976) and generalized pseudomonotonicity for multivalued mappings, we provide some existence results for strong mixed vector equilibrium problem without u...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/497846 |
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| author | Adem Kılıçman Rais Ahmad Mijanur Rahaman |
| author_facet | Adem Kılıçman Rais Ahmad Mijanur Rahaman |
| author_sort | Adem Kılıçman |
| collection | DOAJ |
| description | We consider a strong mixed vector equilibrium problem in topological vector spaces. Using generalized Fan-Browder fixed point theorem (Takahashi 1976) and generalized pseudomonotonicity for multivalued mappings, we provide some existence results for strong mixed vector equilibrium problem without using KKM-Fan theorem. The results in this paper generalize, improve, extend, and unify some existence results in the literature. Some special cases are discussed and an example is constructed. |
| format | Article |
| id | doaj-art-9800a7c245434f5da5bc3b29c0890c67 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-9800a7c245434f5da5bc3b29c0890c672025-02-03T05:50:53ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/497846497846Existence Results for Strong Mixed Vector Equilibrium Problem for Multivalued MappingsAdem Kılıçman0Rais Ahmad1Mijanur Rahaman2Department of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, 43400 Selangor, MalaysiaDepartment of Mathematics, Aligarh Muslim University, Aligarh 202002, IndiaDepartment of Mathematics, Aligarh Muslim University, Aligarh 202002, IndiaWe consider a strong mixed vector equilibrium problem in topological vector spaces. Using generalized Fan-Browder fixed point theorem (Takahashi 1976) and generalized pseudomonotonicity for multivalued mappings, we provide some existence results for strong mixed vector equilibrium problem without using KKM-Fan theorem. The results in this paper generalize, improve, extend, and unify some existence results in the literature. Some special cases are discussed and an example is constructed.http://dx.doi.org/10.1155/2014/497846 |
| spellingShingle | Adem Kılıçman Rais Ahmad Mijanur Rahaman Existence Results for Strong Mixed Vector Equilibrium Problem for Multivalued Mappings Abstract and Applied Analysis |
| title | Existence Results for Strong Mixed Vector Equilibrium Problem for Multivalued Mappings |
| title_full | Existence Results for Strong Mixed Vector Equilibrium Problem for Multivalued Mappings |
| title_fullStr | Existence Results for Strong Mixed Vector Equilibrium Problem for Multivalued Mappings |
| title_full_unstemmed | Existence Results for Strong Mixed Vector Equilibrium Problem for Multivalued Mappings |
| title_short | Existence Results for Strong Mixed Vector Equilibrium Problem for Multivalued Mappings |
| title_sort | existence results for strong mixed vector equilibrium problem for multivalued mappings |
| url | http://dx.doi.org/10.1155/2014/497846 |
| work_keys_str_mv | AT ademkılıcman existenceresultsforstrongmixedvectorequilibriumproblemformultivaluedmappings AT raisahmad existenceresultsforstrongmixedvectorequilibriumproblemformultivaluedmappings AT mijanurrahaman existenceresultsforstrongmixedvectorequilibriumproblemformultivaluedmappings |