충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제4권1호
  • /
  • Pages.55-59
  • /
  • 1991
  • /
  • 1226-3524(pISSN)
  • /
  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
권호 표지

Convexity of the Lagrangian for Set Functions

  • Lee, Jae Hak (Department of Mathematics Education Korean National University of Education)
  • 투고 : 1991.05.30
  • 발행 : 1991.06.30
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초록

We consider perturbation problems and Lagrangians for convex set function optimization problems. In particular, we prove that the Lagrangian $L({\Omega},y)$ is a convex set function in ${\Omega}$ for each y if the perturbation function is convex.

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