On the Calmness of a Class of Multifunctions

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On the Calmness of a Class of Multifunctions
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. Key words. calmness, multifunctions, constraint qualifications, nonsmooth calculus, solution stability, equilibrium problems, weak sharp minima AMS subject classifications. 90C31, 26E25, 49J52 PII. S1052623401395553
René Henrion, Abderrahim Jourani, Jir&iacut
Added 23 Dec 2010
Updated 23 Dec 2010
Type Journal
Year 2002
Authors René Henrion, Abderrahim Jourani, Jirí V. Outrata
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