Some Remarks on Stability of Generalized Equations

René Henrion (), Alexander Y. Kruger () and Jiří V. Outrata ()
Additional contact information
René Henrion: Weierstrass Institute for Applied Analysis and Stochastics
Alexander Y. Kruger: University of Ballarat
Jiří V. Outrata: Academy of Sciences of the Czech Republic

Journal of Optimization Theory and Applications, 2013, vol. 159, issue 3, No 9, 697 pages

Abstract: Abstract 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 C 2 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.

Keywords: Parameterized generalized equation; Regular and limiting coderivative; Constant rank CQ; Mathematical program with equilibrium constraints (search for similar items in EconPapers)
Date: 2013
References: View complete reference list from CitEc
Citations: View citations in EconPapers (5)

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DOI: 10.1007/s10957-012-0147-x

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