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

被引：4

作者：

Alshahrani, Mohammed M. ^{[1
]}

机构：

[1] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2015年

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; Phi-condensing maps; MAXIMAL ELEMENTS; EXISTENCE;

D O I：

10.1186/s13660-015-0656-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：1 / 10

页数：10

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