The approximate and the Clarke subdifferentials can be different everywhere |
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| Authors: | Du&#x;an Pokorný |
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| Institution: | aDepartment of Mathematical Analysis, Faculty of Mathematics and Physics, Charles University in Prague, Czech Republic |
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| Abstract: | We prove that, for a Lipschitz function on  , n 2, the approximate and the Clarke subdifferentials can differ everywhere. This completely answers a question by A.D. Ioffe, which was partially answered by G. Katriel. |
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| Keywords: | Approximate subdifferential Clarke subdifferential Lipschitz function |
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