Some new existence, sensitivity and stability results for the nonlinear complementarity problem
Rubén López (2008)
ESAIM: Control, Optimisation and Calculus of Variations
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In this work we study the nonlinear complementarity problem on the nonnegative orthant. This is done by approximating its equivalent variational-inequality-formulation by a sequence of variational inequalities with nested compact domains. This approach yields simultaneously existence, sensitivity, and stability results. By introducing new classes of functions and a suitable metric for performing the approximation, we provide bounds for the asymptotic set of the solution set and coercive...