On calmness of a class of multifunctions

0410945 20240103182250.720060210235959.9 On calmness of a class of multifunctions 16 s. cav_un_epca*02550731052-6234SIAM Journal on Optimization132 (2002)603-618SIAM Society for Industrial and Applied Mathematics multifunction stability nonsmooth calculus cav_un_auth*0015558 Henrion R. DE cav_un_auth*0212860 Jourani A. FR cav_un_auth*0101173 Outrata Jiří UTIA-B Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. 12B IAA1075005 GA AV ČR cav_un_auth*0012782 ME 427 GA MŠk cav_un_auth*0028532 CEZ:AV0Z1075907 The paper deals with calmness of a class of multifunctions in finite dimensions. Its first part is devoted to various calmness criteria 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. BB MTR http://hdl.handle.net/11104/0131032 UTIA-B 20020159 2002 cav_un_epca*0255073 SIAM Journal on Optimization 1052-6234 1095-7189 Roč. 13 č. 2 2002 603 618 SIAM Society for Industrial and Applied Mathematics