A NOTE ON THE FIRST DEFORMATION LEMMA FOR LOCCALY LIPSCHITZ FUNCTION
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Abstract:
In this paper, the (PS)'c condition which is weaker than the (PS)' condition for mondifferentiable function is proposed. Correspondingly, the pseudogradient vector field is built and the first deformation lemma is proved. Therefore, all kinds of Minimax theorems including the famous Mountain pass lemma from them are derived. What is discussed in this paper is the generalization of the results of tee qaper.