On the Calmness of a Class of Multifunctions

6533b823fe1ef96bd127f3ec

RESEARCH PRODUCT

On the Calmness of a Class of Multifunctions

Jiri Outrata Abderrahim Jourani René Henrion

subject

Class (set theory)Mathematics::Optimization and Control Calculus Stability (learning theory)Calmness Software Physics::Geophysics Theoretical Computer Science Mathematics

description

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.

year	journal	country	edition	language
2002-01-01	SIAM Journal on Optimization

https://doi.org/10.1137/s1052623401395553

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