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Geometric conditions of differentiability for a regular locally Lipschitz function
Authors:Shi Shuzhong  Wang Bingwu
Institution:(1) Nankai Institute of Mathematics, 300071 Tianjin, China
Abstract:The differentiability of a norm of a Banach space may be characterized by its unit sphere. This paper generalizes these geometric conditions of norm's differentiability to the case of a regular locally Lipschitz function. Supported by the National Natural Science Foundation of China
Keywords:Geometric condition  Gateaux- and Fréchet- differentiability  Locally Lipschitz function  Regularity
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