Monotone generalized variational inequalities and generalized complementarity problems

被引：21

作者：

Ding, XP ^{[1
]}

Tarafdar, E ^{[1
]}

机构：

[1] UNIV QUEENSLAND,DEPT MATH,ST LUCIA,QLD,AUSTRALIA

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1996年 / 88卷 / 01期

关键词：

set-valued mappings; quasimonotone and pseudomonotone mappings; reflexive Banach spaces; generalized variational inequalities; generalized complementarity problems; coercivity conditions;

D O I：

10.1007/BF02192024

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：

Some existence results for generalized variational inequalities and generalized complementarity problems involving quasimonotone and pseudomonotone set-valued mappings in reflexive Banach spaces are proved. In particular, some known results for nonlinear variational inequalities and complementarity problems in finite-dimensional and infinite-dimensional Hilbert spaces are generalized to quasimonotone and pseudomonotone set-valued mappings and reflexive Banach spaces. Application to a class of generalized nonlinear complementarity problems studied as mathematical models for mechanical problems is given.

引用

页码：107 / 122

页数：16

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