Abstract
Given a function f on R n , we introduce the concept of anisotropic regularization f ε,g as a generalization of Tikhonov regularization f ε ( x)= f( x)+ εx. When f is a continuous P 0 -function on R n and K is a box in R n , we study the properties of f ε,g and the limiting behavior of solutions of a regularized box variational inequality problem BVI(f ε,g ,K) , with emphasis on the existence of weak Pareto minimal points with respect to K. This work generalizes results of Sznajder and Gowda (1998) proved in the setting of nonlinear complementarity problems.
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