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

• Type: Journal
• Year: 2002
• Where: SIAMJO
• Authors: René Henrion, Abderrahim Jourani, Jirí V. Outrata
• Keywords: Equilibrium Problems, Nonsmooth Calculus, SIAMJO 2002, Solution Stability