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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Bibliographic Details

Published in:	Optimization letters Vol. 14; no. 8; pp. 2055 - 2072
Main Authors:	Khanh, Phan Quoc, Tung, Nguyen Minh
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01.11.2020
Subjects:	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
Online Access:	Get full text
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