Iterative methods for nonlinear complementarity problems on isotone projection cones

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:350

Article

Nemeth, S. Z.

关键词: Nonlinear complementarity problems;    Projection onto cones;    Isotone projection cones;    Iterative methods;    Generalized order monotone mappings;    Generalized Lipschitz mappings;   

DOI  :  10.1016/j.jmaa.2008.09.066

来源: Elsevier

【 摘 要 】

In this paper we present a recursion related to a nonlinear complementarity problem defined by a closed convex cone in a Hilbert space and a continuous mapping defined on the cone. If the recursion is convergent. then its limit is a solution of the nonlinear complementarity problem. In the case of isotone projection cones sufficient conditions are given for the mapping so that the recursion to be convergent. (C) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

Free