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Zbl 0983.49010
Henrion, René; Outrata, Jiří
A subdifferential condition for calmness of multifunctions. (English)
[J] J. Math. Anal. Appl. 258, No.1, 110-130 (2001). ISSN 0022-247X

The paper deals with the characterization of calmness property for a class of multifunctions between finite dimensional spaces. The approach relies on Mordukhovich's nonsmooth calculus for set-valued mappings. Applications to nonlinear optimization and complementarity theory are given.
[Dumitru Motreanu (Perpignan)]

MSC 2000:: *49J52 Nonsmooth analysis (other weak concepts of optimality)
90C33 Complementarity problems
49J53 Set-valued and variational analysis
54C60 Set-valued maps

Keywords: calmness; constraint qualification; multifunctions; coderivative; constraint sets; nonlinear complementarity problems; set-valued mappings

Cited in: Zbl 1165.90651 Zbl 1028.49017

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