Existence of Solutions for Generalized Vector Quasi-Equilibrium Problems by Scalarization Method with Applications

被引：1
|
作者：
Qu, De-ning [1 ,2 ]
Cheng, Cao-zong [1 ]
机构：
[1] Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
[2] Jilin Normal Univ, Coll Math, Siping 136000, Jilin, Peoples R China
来源：
ABSTRACT AND APPLIED ANALYSIS | 2013年
关键词：
VARIATIONAL INEQUALITY; NONLINEAR SCALARIZATION; GAP FUNCTIONS; EXTENSION; OPTIMIZATION; SYSTEM;
D O I：
10.1155/2013/916089
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper is to study generalized vector quasi-equilibrium problems (GVQEPs) by scalarization method in locally convex topological vector spaces. A general nonlinear scalarization function for set-valued mappings is introduced, its main properties are established, and some results on the existence of solutions of the GVQEPs are shown by utilizing the introduced scalarization function. Finally, a vector variational inclusion problem is discussed as an application of the results of GVQEPs.
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页数：8
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