On the Mangasarian–Fromovitz constraint qualification and Karush–Kuhn–Tucker conditions in nonsmooth semi-infinite multiobjective programming

We discuss constraint qualifications in Karush–Kuhn–Tucker multiplier rules in nonsmooth semi-infinite multiobjective programming. A version of the Manganarian–Fromovitz constraint qualification is proposed, in terms of the Michel–Penot directional derivative and the Studniarski derivative of order...

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Vydané v:	Optimization letters Ročník 14; číslo 8; s. 2055 - 2072
Hlavní autori:	Khanh, Phan Quoc, Tung, Nguyen Minh
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Berlin/Heidelberg Springer Berlin Heidelberg 01.11.2020
Predmet:	Computational Intelligence Mathematics Mathematics and Statistics Numerical and Computational Physics Operations Research/Decision Theory Optimization Original Paper Simulation Optimality condition Directional Hölder metric subregularity Constraint qualification Firm solution Semi-infinite multiobjective programming Proper solution
ISSN:	1862-4472, 1862-4480
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