New differential properties of sup-type functions |
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| Authors: | Jin-chuan Zhou Chang-yu Wang |
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| Affiliation: | [1]Department of Mathematics, School of Science, Beijing Jiaotong University, Beijing 100044, China [2]Institute of Operations Research, Qufu Normal University, Qufu 273165, China |
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| Abstract: | In this paper, we study the directional derivative, subderivative, and subdifferential of sup-type functions without any compactness assumption on the index set. As applications, we provide an estimate of the Lipschitz modulus for sup-type functions. Supported by the National Natural Science Foundation of China (No. 10571106, 10671010) |
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| Keywords: | sup-type function subderivative subdifferential Lipschitz modulus |
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