Solving nonlinear complementarity problems by isotonicity of the metric projection

被引：14

作者：

Abbas, M. ^{[1
]}

Nemeth, S. Z. ^{[2
]}

机构：

[1] Lahore Univ Management Sci, Dept Math, Lahore 54792, Pakistan

[2] Univ Birmingham, Sch Math, Birmingham B15 2TT, W Midlands, England

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 386卷 / 02期

关键词：

Cones; Simplicial cones; Metric projection; Isotone maps; Nonlinear complementarity problem; VARIATIONAL-INEQUALITIES; ITERATIVE METHODS; EUCLIDEAN SPACES; BANACH SPACES; CONES; MONOTONICITY; OPERATORS; EQUATIONS;

D O I：

10.1016/j.jmaa.2011.08.048

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main motivation for introducing the notion of isotone projection cones was to solve nonlinear complementarity problems. The notion of *-isotone projection cones is introduced by this paper in a similar fashion. Iterative methods for finding solutions of complementarity problems on *-isotone projection cones are presented. The problem of finding nonzero solutions of these problems is also considered. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：882 / 893

页数：12

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