0467536 20240103213204.820161219235959.9 85007227339 000391853600008 10.1137/15M1052299 30 s. P cav_un_epca*02550731052-6234264 (2016)2160-2189SIAM Society for Industrial and Applied Mathematics solution map calmness Aubin property directional limiting coderivative cav_un_auth*0319636 Gfrerer H. AT cav_un_auth*0101173 Outrata Jiří Matematická teorie rozhodování Department of Decision Making Theory MTR MTR UTIA-B Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2016/MTR/outrata-0467536.pdf cav_un_auth*0339745 P26132-N25 Austrian Science Fund AT cav_un_auth*0321507 GA15-00735S GA ČR cav_un_auth*0339747 DP160100854 Australian Research Council AU This paper is devoted to the development of new sufficient conditions for the calmness and the Aubin property of implicit multifunctions. As the basic tool we employ the directional limiting coderivative which, together with the graphical derivative, enables a fine analysis of the local behavior of the investigated multifunction along relevant directions. For verification of the calmness property, in addition, a new condition has been discovered which parallels the missing implicit function paradigm and permits us to replace the original multifunction by a substantially simpler one. Moreover, as an auxiliary tool, a handy formula for the computation of the directional limiting coderivative of the normal-cone map with a polyhedral set has been derived which perfectly matches the framework of [A. L. Dontchev and R. T. Rockafellar, SIAM J. Optim., 6 (1996), pp. 1087-1105]. All important statements are illustrated by examples. BA 2017 2 4 A hod 4ah 20231122142122.7 RVO:67985556 http://hdl.handle.net/11104/0265783 cav_un_auth*0339748 Johannes Kepler University Linz AT 1 Department of Decision Making Theory UTIA-B 10102 MATHEMATICS, APPLIED S 1* Article Mathematics Applied MATHEMATICS.APPLIED 3.359 0.36 999.9 0.01714 2.759 6281 2.652 Q1 1.807 114 Q1 98.129 89.6 Q1* Q1* 89.608 2016 Soubory v repozitáři: outrata-0467536.pdf 85007227339 SCOPUS PUBMED 000391853600008 WOS cav_un_epca*0255073 SIAM Journal on Optimization 1052-6234 1095-7189 Roč. 26 č. 4 2016 2160 2189 SIAM Society for Industrial and Applied Mathematics