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 us...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Hindawi Publishing Corporation
2014
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| Online Access: | http://psasir.upm.edu.my/id/eprint/37553/ http://psasir.upm.edu.my/id/eprint/37553/1/Existence%20results%20for%20strong%20mixed%20vecor.pdf |
| _version_ | 1848848638661361664 |
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| author | Kilicman, Adem Ahmad, Rais Rahaman, Mijanur |
| author_facet | Kilicman, Adem Ahmad, Rais Rahaman, Mijanur |
| author_sort | Kilicman, Adem |
| building | UPM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T09:37:41Z |
| format | Article |
| id | upm-37553 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:37:41Z |
| publishDate | 2014 |
| publisher | Hindawi Publishing Corporation |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-375532015-09-14T12:03:51Z http://psasir.upm.edu.my/id/eprint/37553/ Existence results for strong mixed vector equilibrium problem for multivalued mappings Kilicman, Adem Ahmad, Rais Rahaman, Mijanur 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. Hindawi Publishing Corporation 2014 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/37553/1/Existence%20results%20for%20strong%20mixed%20vecor.pdf Kilicman, Adem and Ahmad, Rais and Rahaman, Mijanur (2014) Existence results for strong mixed vector equilibrium problem for multivalued mappings. Abstract and Applied Analysis, 2014. art. no. 497846. pp. 1-6. ISSN 1085-3375; ESSN: 1687-0409 http://www.hindawi.com/journals/aaa/2014/497846/ 10.1155/2014/497846 |
| spellingShingle | Kilicman, Adem Ahmad, Rais Rahaman, Mijanur Existence results for strong mixed vector equilibrium problem for multivalued mappings |
| 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://psasir.upm.edu.my/id/eprint/37553/ http://psasir.upm.edu.my/id/eprint/37553/ http://psasir.upm.edu.my/id/eprint/37553/ http://psasir.upm.edu.my/id/eprint/37553/1/Existence%20results%20for%20strong%20mixed%20vecor.pdf |