PSEUDOMONOTONE COMPLEMENTARITY-PROBLEMS IN HILBERT-SPACE

被引：310

作者：

COTTLE, RW ^{[1
]}

YAO, JC ^{[1
]}

机构：

[1] NATL SUN YAT SEN UNIV,DEPT APPL MATH,KAOHSIUNG,TAIWAN

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1992年 / 75卷 / 02期

关键词：

NONLINEAR COMPLEMENTARITY PROBLEMS; VARIATIONAL INEQUALITY PROBLEMS; PSEUDOMONOTONE MAPPINGS; MONOTONE MAPPINGS; WEAKLY COERCIVE MAPPINGS;

D O I：

10.1007/BF00941468

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：

In this paper, some existence results for a nonlinear complementarity problem involving a pseudo-monotone mapping over an arbitrary closed convex cone in a real Hilbert space are established. In particular, some known existence results for a nonlinear complementarity problem in a finite-dimensional Hilbert space are generalized to an infinite-dimensional real Hilbert space. Applications to a class of nonlinear complementarity problems and the study of the post-critical equilibrium state of a thin elastic plate subjected to unilateral conditions are given.

引用

页码：281 / 295

页数：15

共 25 条

[1]

ALLEN G, 1977, J MATH ANAL APPL, V58, P10

[2]

BARBU V, 1978, CONVEXITY OPTIMIZATI

[3] NONLINEAR COMPLEMENTARITY PROBLEM IN MATHEMATICAL PROGRAMMING IN BANACH SPACE [J].