0449259 20240103211004.820151119235959.9 000365768100008 84958546349 10.1007/s11228-015-0328-5 18 s. P cav_un_epca*03439671877-0533234 (2015)687-704Springer Variational analysis and optimization Parameterized equilibria Conic constraints Sensitivity and stability analysis Solution maps Graphical derivatives Normal and tangent cones 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-0449259.pdf GAP201/12/0671 GA ČR CZ cav_un_auth*0289475 The paper concerns parameterized equilibria governed by generalized equations whose multivalued parts are modeled via regular normals to nonconvex conic constraints. Our main goal is to derive a precise pointwise second-order formula for calculating the graphical derivative of the solution maps to such generalized equations that involves Lagrange multipliers of the corresponding KKT systems and critical cone directions. Then we apply the obtained formula to characterizing a Lipschitzian stability notion for the solution maps that is known as isolated calmness. 2016 BA 3 RVO:67985556 http://hdl.handle.net/11104/0251932 cav_un_auth*0308976 wayne state university US cav_un_auth*0321109 Federation University of Australia AU cav_un_auth*0312842 Universidad de Chile CL S MATHEMATICS.APPLIED 1.224 0.256 3.8 0.00232 0.951 240 0.981 Q2 0.907 39 Q2 78.069 62 Q1 Q2 62.008 2015 84958546349 SCOPUS 000365768100008 WOS cav_un_epca*0343967 Set-Valued and Variational Analysis 1877-0533 1877-0541 Roč. 23 č. 4 2015 687 704 Springer