Outrata, Jiří V.; Ramírez C., Héctor On the Aubin property of critical points to perturbed second-order cone programs. (English) Zbl 1247.90256 SIAM J. Optim. 21, No. 3, 798-823 (2011); erratum ibid. 27, No. 3, 2143-2151 (2017). The authors consider second-order cone programming problems and the corresponding canonically perturbed KKT-system. They characterize the Aubin property for this system by means of strong second-order optimality conditions where the positive definiteness of the Hessian of the Langrangian and the curvature of the constraint set play crucial roles. Finally, an extension to several second-order cones is presented. Reviewer: Jan-Joachim Rückmann (Puebla) Cited in 1 ReviewCited in 22 Documents MSC: 90C31 Sensitivity, stability, parametric optimization 90C46 Optimality conditions and duality in mathematical programming Keywords:second-order cone programming; strong regularity; Aubin property; strong second-order sufficient optimality conditions; nondegeneracy PDFBibTeX XMLCite \textit{J. V. Outrata} and \textit{H. Ramírez C.}, SIAM J. Optim. 21, No. 3, 798--823 (2011; Zbl 1247.90256) Full Text: DOI Link