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arXiv · 2412.19642

Mangasarian-Fromovitz-type constraint qualification and optimality conditions for smooth infinite programming problems

Ewa M. Bednarczuk·Krzysztof W. Leśniewski·Krzysztof E. Rutkowski
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Abstract

We introduce a constraint qualification condition (GPMFCQ) for smooth infinite programming problems, where the nonlinear operator defining the equality constraints has nonsurjective derivative at the local minimum. The condition is a generalization of PMFCQ introduced by Morduhovich and Nghia. We prove the existence of Lagrange multipliers by using either Hurwicz set or Nonlinear Farkas Minkowski condition.

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Ewa M. Bednarczuk, Krzysztof W. Leśniewski, Krzysztof E. Rutkowski. 2024-12-27. Mangasarian-Fromovitz-type constraint qualification and optimality conditions for smooth infinite programming problems. https://arxiv.org/abs/2412.19642

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