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Geometric conditions of differentiability for a regular locally Lipschitz function |
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| Authors: | Shi Shuzhong Wang Bingwu |
| Affiliation: | (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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