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 |
| Summary: | 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. |
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