A Note on Scalar-Valued Gap Functions for Generalized Vector Variational Inequalities

被引：0

作者：

Sun, Xiang-Kai ^{[1
,2
]}

Fu, Hong-Yong ^{[3
]}

Chai, Yi ^{[2
]}

机构：

[1] Chongqing Technol & Business Univ, Coll Math & Stat, Chongqing 400067, Peoples R China

[2] Chongqing Univ, Coll Automat, Chongqing 400030, Peoples R China

[3] Southwest Univ Polit Sci & Law, Sch Management, Chongqing 401120, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2013年

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

SENSITIVITY PROPERTIES; EXISTENCE; OPERATORS;

D O I：

10.1155/2013/492103

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with gap functions of generalized vector variational inequalities (GVVI). By using scalarization approach, scalar-valued variational inequalities of (GVVI) are introduced. Some relationships between the solutions of (GVVI) and its scalarized versions are established. Then, by using these relationships and some mild conditions, scalar-valued gap functions for (GVVI) are established.

引用

页数：4

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