| 关于局部Lipschitz函数的第一形变引理的一个注记 |
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| 引用本文： | 马仁义. 关于局部Lipschitz函数的第一形变引理的一个注记[J]. 重庆大学学报(自然科学版), 1988, 11(5) |
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| 作者姓名： | 马仁义 |
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| 作者单位： | 重庆大学应用数学系 |
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| 摘 要： | 本文对弱P.S.条件的局部Lipschitz函数建立了伪梯度向量场和证明了第一形变引理,推广了[1、2]的部分结果。
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| 关 键 词： | Clarke广义梯度 伪梯度向量场 形变收缩 |
A NOTE ON THE FIRST DEFORMATION LEMMA FOR LOCCALY LIPSCHITZ FUNCTION |
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| Ma Renyi. A NOTE ON THE FIRST DEFORMATION LEMMA FOR LOCCALY LIPSCHITZ FUNCTION[J]. Journal of Chongqing University(Natural Science Edition), 1988, 11(5) |
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| Authors: | Ma Renyi |
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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. |
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| Keywords: | Clarke generalized gradient Pseudogradient vector field deformation retfact. |
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