Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
권호 표지

RELATION BETWEEN DEMYANOV DIFFERENCE AND MINKOWSKI DIFFERENCE OF CONVEX COMPACT SUBSETS IN $R^2$

  • Song, Chun-Ling (Science School, Foshan University) ;
  • Xia, Zun-Quan (CORA, Department of Applied Mathematics, Dalian University of Technology) ;
  • Zhang, Li-Wei (CORA, Department of Applied Mathematics, Dalian University of Technology) ;
  • Li, Shu-Yang (Basic Department, Dalian Naval Academy)
  • Published : 2007.01.31

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Abstract

A necessary and sufficient condition for Demyanov difference and Minkowski difference of compact convex subsets in $R^2$ 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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