On the Calmness of a Class of Multifunctions

نویسندگان

  • René Henrion
  • Abderrahim Jourani
  • Jirí V. Outrata
چکیده

The paper deals with the calmness of a class of multifunctions in finite dimensions. Its first part is devoted to various conditions for calmness, which are derived in terms of coderivatives and subdifferentials. The second part demonstrates the importance of calmness in several areas of nonsmooth analysis. In particular, we focus on nonsmooth calculus and solution stability in mathematical programming and in equilibrium problems. The derived conditions find a number of applications there.

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عنوان ژورنال:
  • SIAM Journal on Optimization

دوره 13  شماره 

صفحات  -

تاریخ انتشار 2002