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Application of degree theory in stability of the complementarity problem. (English) Zbl 0616.90082

We study the behavior of a solution of the complementarity problem when the problem is perturbed. The basic result is that if the degree of a certain function is nonzero then the problem is stable. We show that several well-known conditions for the existence of a solution to the problem also imply stability of the problem. We also show that in the nondegenerate case there are simple conditions that ensure stability.

MSC:

90C33 Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming)
90C31 Sensitivity, stability, parametric optimization
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