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Uniqueness and differentiability of solutions of parametric nonlinear complementarity problems.(English)Zbl 0613.90096

We derive conditions for the local uniqueness of solutions of nonlinear complementarity problems (NCP). We then prove the existence, continuity, and directional differentiability of a locally unique parametric solution of the parametric NCP under stronger assumptions. In the absence of degeneracy this parametric solution is also shown to be continuously differentiable.

MSC:

90C33 Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming)
90C30 Nonlinear programming

Cite

References:

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This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
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