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On Relaxing the Mangasarian-Fromovitz Constraint Qualification

Alexander Kruger (a.kruger***at***ballarat.edu.au)
Leonid Minchenko (leonidm***at***insoftgroup.com)
Jiri Outrata (outrata***at***utia.cas.cz)

Abstract: For the classical nonlinear program two new relaxations of the Mangasarian-Fromovitz constraint qualification are discussed and their relationship with some standard constraint qualifications is examined. In particular, we establish the equivalence of one of these constraint qualifications with the recently suggested by Andreani et al. Constant rank of the subspace component constraint qualification. As an application, we make use of another new constraint qualification in the local analysis of the solution map to a parameterized equilibrium problem, modeled by a generalized equation.

Keywords: nonlinear programming; regularity conditions; constraint qualifications; Lagrange multipliers; Mangasa\-rian-Fromovitz constraint qualification; Constant rank constraint qualification

Category 1: Nonlinear Optimization (Constrained Nonlinear Optimization )

Citation: Published in Positivity DOI 10.1007/s11117-013-0238-4

Download: [PDF]

Entry Submitted: 03/09/2012
Entry Accepted: 03/09/2012
Entry Last Modified: 01/01/2014

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