Quasimonotone variational inequalities in Banach spaces

被引：122

作者：

Hadjisavvas, N ^{[1
]}

Schaible, S ^{[1
]}

机构：

[1] UNIV CALIF RIVERSIDE,GRAD SCH MANAGEMENT,RIVERSIDE,CA 92521

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1996年 / 90卷 / 01期

关键词：

variational inequality problems; quasimonotone operators; generalized monotone operators; inner points;

D O I：

10.1007/BF02192248

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

Various existence results for variational inequalities in Banach spaces are derived, extending some recent results by Cottle and Yao. Generalized monotonicity as well as continuity assumptions on the operator f are weakened and, in some results, the regularity assumptions on the domain of f are relaxed significantly. The concept of inner point for subsets of Banach spaces proves to be useful.

引用

页码：95 / 111

页数：17

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