Mixed vector equilibrium problem involving multi-valued mapping

• Main Authors: Rahaman, Mijanur, Kilicman, Adem, Ahmad, Rais
• Format: Article
• Language: English
• Published: Natural Sciences Publishing Corporation 2016
• Online Access: http://psasir.upm.edu.my/id/eprint/53298/1/Mixed%20vector%20equilibrium%20problem%20involving%20multi-valued%20mapping.pdf; http://psasir.upm.edu.my/id/eprint/53298/; http://www.naturalspublishing.com/Article.asp?ArtcID=10871
• Institution: Universiti Putra Malaysia

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.