Solving nonlinear complementarity problems by isotonicity of the metric projection

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• 作者：M.  ; Abbas^a ;   ; ^{mujahid@lums.edu.pk} ; S.Z.  ; Né ; meth^b ;   ; ^{nemeths@for.mat.bham.ac.uk}
• 关键词：Cones ; Simplicial cones ; Metric projection ; Isotone maps ; Nonlinear complementarity problem
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2012
• 出版时间：15 February 2012
• 年：2012
• 卷：386
• 期：2
• 页码：882-893
• 全文大小：199 K

文摘

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.