Publication details

Journal Article

Some Remarks on Stability of Generalized Equations

Outrata Jiří, Henrion R., Kruger A.Y.

: Journal of Optimization Theory and Applications vol.159, 3 (2013), p. 681-697

: IAA100750802, GA AV ČR, GAP201/12/0671, GA ČR

: Parameterized generalized equation, Regular and limiting coderivative, Constant rank CQ, Mathematical program with equilibrium constraints

: 10.1007/s10957-012-0147-x

: http://library.utia.cas.cz/separaty/2013/MTR/outrata-some remarks on stability of generalized equations.pdf

(eng): The paper concerns the computation of the graphical derivative and the regular (Fréchet) coderivative of the solution map to a class of generalized equations, where the multivalued term amounts to the regular normal cone to a (possibly nonconvex) set given by C2 inequalities. Instead of the linear independence qualification condition, standardly used in this context, one assumes a combination of the Mangasarian–Fromovitz and the constant rank qualification conditions. Based on the obtained generalized derivatives, new optimality conditions for a class of mathematical programs with equilibrium constraints are derived, and a workable characterization of the isolated calmness of the considered solution map is provided.

: BA