0439413 20240103205534.620150122235959.9 000352220900004 84925422892 10.1137/120903221 26 s. P cav_un_epca*02550731052-6234251 (2015)76-101SIAM Society for Industrial and Applied Mathematics variational analysis second-order theory conic programming generalized differentiation optimality conditions isolated calmness tilt stability cav_un_auth*0051326 Mordukhovich B. S. US 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. cav_un_auth*0274310 Ramírez H. C. CL http://library.utia.cas.cz/separaty/2015/MTR/outrata-0439413.pdf DP-110102011 Australian Research Council AU cav_un_auth*0308975 DMS-1007132 USA National Science Foundation US cav_un_auth*0310057 DP-12092508 Australian Reseach Council AU cav_un_auth*0308973 MAT/11109 Portuguese Foundation of Science and Technologies PT cav_un_auth*0308974 1110888 FONDECYT Project CL cav_un_auth*0312840 BASAL Project Centro de Modelamiento Matematico Universidad de Chile CL cav_un_auth*0312841 GAP201/12/0671 GA ČR CZ cav_un_auth*0289475 This paper is devoted to the study of a broad class of problems in conic programming modeled via parameter-dependent generalized equations. In this framework we develop a secondorder generalized differential approach of variational analysis to calculate appropriate derivatives and coderivatives of the corresponding solution maps. These developments allow us to resolve some important issues related to conic programming. They include verifiable conditions for isolated calmness of the considered solution maps, sharp necessary optimality conditions for a class of mathematical programs with equilibrium constraints, and characterizations of tilt-stable local minimizers for cone-constrained problems. The main results obtained in the general conic programming setting are specified for and illustrated by the second-order cone programming. 2016 BA 3 4 A hod 4ah 20231122140758.4 RVO:67985556 http://hdl.handle.net/11104/0243120 cav_un_auth*0308976 wayne state university US cav_un_auth*0312842 CL universidad de chile CL 1 Department of Decision Making Theory UTIA-B 10102 MATHEMATICS, APPLIED S MATHEMATICS.APPLIED 3.463 0.276 999.9 0.01727 2.751 5274 3.235 Q1 2.216 105 Q1 99.125 97.4 Q1* Q1* 97.441 2015 Soubory v repozitáři: outrata-0439413.pdf 84925422892 SCOPUS 000352220900004 WOS cav_un_epca*0255073 SIAM Journal on Optimization 1052-6234 1095-7189 Roč. 25 č. 1 2015 76 101 SIAM Society for Industrial and Applied Mathematics