Mixed Vector Equilibrium Problem Involving Multi-Valued Mapping

Authors

Mijanur Rahaman, Department of Mathematics, Aligarh Muslim University, Aligarh-202002, IndiaFollow
Adem Kılıçman, Department of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, 43400 Serdang, Selangor, MalaysiaFollow
Rais Ahmad, Department of Mathematics, Aligarh Muslim University, Aligarh-202002, IndiaFollow

Author Country (or Countries)

India

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.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/100119

Recommended Citation

Rahaman, Mijanur; Kılıçman, Adem; and Ahmad, Rais (2016) "Mixed Vector Equilibrium Problem Involving Multi-Valued Mapping," Applied Mathematics & Information Sciences: Vol. 10: Iss. 1, Article 19.
DOI: http://dx.doi.org/10.18576/amis/100119
Available at: https://digitalcommons.aaru.edu.jo/amis/vol10/iss1/19