The generalized vector quasi-variational-like inequalities

被引：23

作者：

Ding, XP ^{[1
]}

机构：

[1] Sichuan Normal Univ, Dept Math, Chengdu 610066, Sichuan, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1999年 / 37卷 / 06期

关键词：

generalized vector quasivariational-like inequality; C+eta-monotone; topological vector space;

D O I：

10.1016/S0898-1221(99)00076-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce and study a class of Generalized Vector Quasi-Variational-Like Inequality Problem (GVQVLIP) involving set-valued mappings with certain monotonicity. By employing the scalarization technique, several existence results for solutions of the (GVQVLIP) are established under noncompact setting in topological vector spaces. These new existence results improve, unify, and generalize many known results for scalar and vector variational inequalities in recent literature. (C) 1999 Elsevier Science Ltd. All rights reserved.

引用

页码：57 / 67

页数：11

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