Citation
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
Abstract
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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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.18576/amis/100119 |
| Publisher: | Natural Sciences Publishing Corporation |
| Keywords: | Equilibrium problem; Variational inequality; Vector; Generalized KKM theorem; Core; Coercing family |
| Depositing User: | Ms. Ainur Aqidah Hamzah |
| Date Deposited: | 18 Mar 2022 04:32 |
| Last Modified: | 18 Mar 2022 04:32 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.18576/amis/100119 |
| URI: | http://psasir.upm.edu.my/id/eprint/53298 |
| Statistic Details: | View Download Statistic |
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