Solving nonlinear complementarity problems by isotonicity of the metric projection

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:386

Article

Abbas, M.¹  Nemeth, S. Z.² 

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

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

关键词: Cones;    Simplicial cones;    Metric projection;    Isotone maps;    Nonlinear complementarity problem;   

DOI  :  10.1016/j.jmaa.2011.08.048

来源: Elsevier

【 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.

【 授权许可】

Free