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A Superlinearly Convergent Method for a Class of Complementarity Problems with Non-Lipschitzian Functions

A Superlinearly Convergent Method for a Class of Complementarity Problems with Non-Lipschitzian Functions

We consider a class of complementarity problems involving functions which are not Lipschitz continuous. In this paper we reformulate this class of non-Lipschitzian complementarity problems into a Lipschitzian complementarity problem. Then we propose an inexact smoothing Newton method to solve this Lipschitzian complementarity problem. We prove that our proposed method …