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.
Digital Object Identifier (DOI)
Rahaman, Mijanur; Kılıçman, Adem; and Ahmad, Rais
"Mixed Vector Equilibrium Problem Involving Multi-Valued Mapping,"
Applied Mathematics & Information Sciences: Vol. 10:
1, Article 19.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol10/iss1/19