Mixed vector equilibrium problem involving multi-valued mapping
In this paper, we consider and study a mixed vector equilibrium problem involving multi-valued mapping in a Hausdorff topological vector space. We prove some existence results for mixed vector equilibrium problem involving multi-valued mapping using KKM theorem, the concept of coercing family for mu...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Natural Sciences Publishing Corporation
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/53298/ http://psasir.upm.edu.my/id/eprint/53298/1/Mixed%20vector%20equilibrium%20problem%20involving%20multi-valued%20mapping.pdf |
| _version_ | 1848852246315401216 |
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| author | Rahaman, Mijanur Kilicman, Adem Ahmad, Rais |
| author_facet | Rahaman, Mijanur Kilicman, Adem Ahmad, Rais |
| author_sort | Rahaman, Mijanur |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper, we consider and study a mixed vector equilibrium problem involving multi-valued mapping in a Hausdorff topological vector space. We prove some existence results for mixed vector equilibrium problem involving multi-valued mapping using KKM theorem, the concept of coercing family for multi-valued mappings and core of a set. The problem of this paper is a combination of a vector equilibrium problem and a vector variational inequality problem and is more general than many existing problems available in the literature. |
| first_indexed | 2025-11-15T10:35:02Z |
| format | Article |
| id | upm-53298 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:35:02Z |
| publishDate | 2016 |
| publisher | Natural Sciences Publishing Corporation |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-532982022-03-18T04:32:23Z http://psasir.upm.edu.my/id/eprint/53298/ Mixed vector equilibrium problem involving multi-valued mapping Rahaman, Mijanur Kilicman, Adem Ahmad, Rais In this paper, we consider and study a mixed vector equilibrium problem involving multi-valued mapping in a Hausdorff topological vector space. We prove some existence results for mixed vector equilibrium problem involving multi-valued mapping using KKM theorem, the concept of coercing family for multi-valued mappings and core of a set. The problem of this paper is a combination of a vector equilibrium problem and a vector variational inequality problem and is more general than many existing problems available in the literature. Natural Sciences Publishing Corporation 2016-01 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/53298/1/Mixed%20vector%20equilibrium%20problem%20involving%20multi-valued%20mapping.pdf Rahaman, Mijanur and Kilicman, Adem and Ahmad, Rais (2016) Mixed vector equilibrium problem involving multi-valued mapping. Applied Mathematics & Information Sciences, 10 (1). pp. 203-207. ISSN 1935-0090; ESSN: 2325-0399 http://www.naturalspublishing.com/Article.asp?ArtcID=10871 10.18576/amis/100119 |
| spellingShingle | Rahaman, Mijanur Kilicman, Adem Ahmad, Rais Mixed vector equilibrium problem involving multi-valued mapping |
| title | Mixed vector equilibrium problem involving multi-valued mapping |
| title_full | Mixed vector equilibrium problem involving multi-valued mapping |
| title_fullStr | Mixed vector equilibrium problem involving multi-valued mapping |
| title_full_unstemmed | Mixed vector equilibrium problem involving multi-valued mapping |
| title_short | Mixed vector equilibrium problem involving multi-valued mapping |
| title_sort | mixed vector equilibrium problem involving multi-valued mapping |
| url | http://psasir.upm.edu.my/id/eprint/53298/ http://psasir.upm.edu.my/id/eprint/53298/ http://psasir.upm.edu.my/id/eprint/53298/ http://psasir.upm.edu.my/id/eprint/53298/1/Mixed%20vector%20equilibrium%20problem%20involving%20multi-valued%20mapping.pdf |