期刊
SIAM JOURNAL ON OPTIMIZATION
卷 13, 期 2, 页码 603-618出版社
SIAM PUBLICATIONS
DOI: 10.1137/S1052623401395553
关键词
calmness; multifunctions; constraint qualifications; nonsmooth calculus; solution stability; equilibrium problems; weak sharp minima
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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