Scalarized system of nonsmooth vector quasi-variational inequalities with applications to Debreu type vector equilibrium problems

Journal of inequalities and applications

Mohammed M Alshahrani¹ 

关键词: scalarization;    system of nonsmooth vector quasi-variational inequalities;    system of Debreu type equilibrium problem for vector-valued functions;    system of vector quasi-equilibrium problems;    Clarke generalized directional derivative;    maximal element theorem;    Φ-condensing maps;   

DOI  :  10.1186/s13660-015-0656-x

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this work, we utilize a scalarization method to introduce a system of nonsmooth vector quasi-variational inequalities. We also study their relationship to Debreu type vector equilibrium problems. Then we establish some existence results for solutions of these systems by using maximal element theorems for a family of set-valued maps.

【 授权许可】

CC BY