Gap functions and existence of solutions to generalized vector variational inequalities

被引：19
|
作者：
Li, J [1 ]
He, ZQ [1 ]
机构：
[1] China W Normal Univ, Sch Math & Informat, Nanchong 637002, Sichuan, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2005年 / 18卷 / 09期
关键词：
generalized vector variational inequalities; point-to-set mappings; gap functions; existence of solutions; KKM-mapping;
D O I：
10.1016/j.aml.2004.06.029
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the gap function for a new class of generalized vector variational inequalities with point-to-set mappings (for short, GVVI) is introduced and the necessary and sufficient conditions for the GVVI are established. In order to derive the existence of solutions for the GVVI, we also introduce the concept of eta-h-C(x)-pseudomonotonicity. By considering the existence of solutions for vector variational inequalities (for short, VVI) with a single-valued function and a continuous selection theorem, we obtain the existence theorem for the GVVI under the assumption of eta-h-C(x)-pseudomonotonicity. The results presented in this paper extend and unify corresponding results of other authors. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码：989 / 1000
页数：12
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