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Relation between Demyanov difference and Minkowski difference of convex compact subsets inR 2 |
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| Authors: | Chun-Ling Song Zun-Quan Xia Li-Wei Zhang Shu-Yang Li |
| Institution: | 1. Science School, Foshan University, 528000, Foshan, Guangdong, P. R. China 2. CORA, Department of Applied Mathematics, Dalian University of Technology, 116024, Dalian, P. R. China 3. Basic Department, Dalian Naval Academy, 116018, Dalian, P. R. China |
| Abstract: | A necessary and sufficient condition for Demyanov difference and Minkowski difference of compact convex subsets inR 2 being equal is given in this paper. Several examples are computed by Matlab to test our result. The necessary and sufficient condition makes us to compute Clarke subdifferential by quasidifferential for a special of Lipschitz functions. |
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