Journal of applied mathematics & informatics

  • 제8권2호
  • /
  • Pages.473-489
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  • 2001
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  • 2734-1194(pISSN)
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  • 2234-8417(eISSN)
한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
권호 표지

DIFFERENCE OF TWO SETS AND ESTIMATION OF CLARKE GENERALIZED JACOBIAN VIA QUASIDIFFERENTIAL

  • Gao, Yan (Department of Mathematics and Mechanics, China University of Mining and Technology)
  • 발행 : 2001.05.01

⟨ 이전 논문 다음 논문 ⟩

초록

The notion of difference for two convex compact sets in Rⁿ, proposed by Rubinov et al, is generalized to R/sub mxn/. A formula of the difference for the two sets, which are convex hulls of a finite number of points, is developed. In the light of this difference, the relation between Clarke generalized Jacobian and quasidifferential, in the sense of Demyanov and Rubinov, for a nonsnooth function, is established. Based on the relation, the method of estimating Clarke generalized Jacobian via quasidifferential for a certain class of function, is presented.

키워드

참고문헌

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