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...

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Main Authors: Kilicman, Adem, Ahmad, Rais, Rahaman, Mijanur
Format: Article
Language:English
Published: Hindawi Publishing Corporation 2014
Online Access:http://psasir.upm.edu.my/id/eprint/37553/1/Existence%20results%20for%20strong%20mixed%20vecor.pdf
http://psasir.upm.edu.my/id/eprint/37553/
http://www.hindawi.com/journals/aaa/2014/497846/
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spelling my.upm.eprints.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
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
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
author Kilicman, Adem
Ahmad, Rais
Rahaman, Mijanur
spellingShingle Kilicman, Adem
Ahmad, Rais
Rahaman, Mijanur
Existence results for strong mixed vector equilibrium problem for multivalued mappings
author_facet Kilicman, Adem
Ahmad, Rais
Rahaman, Mijanur
author_sort Kilicman, Adem
title 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_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_sort existence results for strong mixed vector equilibrium problem for multivalued mappings
publisher Hindawi Publishing Corporation
publishDate 2014
url http://psasir.upm.edu.my/id/eprint/37553/1/Existence%20results%20for%20strong%20mixed%20vecor.pdf
http://psasir.upm.edu.my/id/eprint/37553/
http://www.hindawi.com/journals/aaa/2014/497846/
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score 13.244404