Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 340-347 |
| Number of pages | 8 |
| Journal | Journal of Mathematical Analysis and Applications |
| Volume | 350 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1 Feb 2009 |
Keywords
- Generalized Lipschitz mappings
- Generalized order monotone mappings
- Nonlinear complementarity problems
- Iterative methods
- Projection onto cones
- Isotone projection cones