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Iterative methods for nonlinear complementarity problems on isotone projection cones |
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| Authors: | SZ Németh |
| Institution: | The University of Birmingham, School of Mathematics, The Watson Building, Edgbaston, B15 2TT Birmingham, United Kingdom |
| 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. |
| Keywords: | Nonlinear complementarity problems Projection onto cones Isotone projection cones Iterative methods Generalized order monotone mappings Generalized Lipschitz mappings |
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