Bibliography

Journal Article

Full Stability of Locally Optimal Solutions in Second-Order Cone Programs

Mordukhovich B. S., Outrata Jiří, Sarabi E.

: SIAM Journal on Optimization vol.24, 4 (2014), p. 1581-1613

: DP-12092508, Australian Research Council, DP-110102011, Australian Research Council, MAT/11109, Portuguese Foundation of Science and Technologies, DMS-1007132, USA National Science Foundation, GAP402/12/1309, GA ČR

: variational analysis, second-order cone programming, full stability of local minimizers, nondegeneracy, strong regularity, quadratic growth, second-order subdifferentials, coderivatives

: 10.1137/130928637

: http://library.utia.cas.cz/separaty/2014/MTR/outrata-0434303.pdf

(eng): The paper presents complete characterizations of Lipschitzian full stability of locally optimal solutions to second-order cone programs (SOCPs) expressed entirely in terms of their initial data. These characterizations are obtained via appropriate versions of the quadratic growth and strong second-order sufficient conditions under the corresponding constraint qualifications. We also establish close relationships between full stability of local minimizers for SOCPs and strong regularity of the associated generalized equations at nondegenerate points. Our approach is mainly based on advanced tools of second-order variational analysis and generalized differentiation.

: BA