Generalized Vector Quasi-Variational Inequality Problems Over Product Sets

被引：0

作者：

Q. H. Ansari

S. Schaible

J. C. Yao

机构：

[1] Aligarh Muslim University,Reader, Department of Mathematics

[2] King Fahd University of Petroleum and Minerals,Mathematical Sciences Department

[3] University of California,Professor, A. G. Anderson Graduate School of Management

[4] National Sun Yat-sen University,Professor, Department of Appiled Mathematics

来源：

Journal of Global Optimization | 2005年 / 32卷

关键词：

Generalized vector quasi-variational inequalities; relatively maximal pseudomonotone maps; relatively pseudomonotone maps; systems of generalized vector quasi-variational inequalities; systems of vector quasi-variational inequalities; vector quasi-variational inequalities.;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper we consider vector quasi-variational inequality problems over product sets (in short, VQVIP). Moreover we study generalizations of this model, namely problems of a system of vector quasi-variational inequalities (in short, SVQVIP), generalized vector quasi-variational inequality problems over product sets (in short, GVQVIP) and problems of a system of generalized vector quasi-variational inequalities (in short, SGVQVIP). We show that every solution of (VQVIP) (respectively, (GVQVIP)) is a solution of (SVQVIP) (respectively, (SGVQVIP)). By defining relatively pseudomonotone and relatively maximal pseudomonotone maps and by employing a known fixed point theorem, we establish the existence of a solution of (VQVIP) and (SVQVIP). These existence results are then used to derive the existence of a solution of (GVQVIP) and (SGVQVIP), respectively, The results of this paper extend recent results in the literature. They are obtained in a more general setting.

引用

页码：437 / 449

页数：12

共 44 条

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