Scaled-PAKKT sequential optimality condition for multiobjective problems and its application to an Augmented Lagrangian method

Based on the recently introduced Scaled Positive Approximate Karush–Kuhn–Tucker condition for single objective problems, we derive a sequential necessary optimality condition for multiobjective problems with equality and inequality constraints as well as additional abstract set constraints. These ne...

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Bibliographic Details

Published in:	Computational optimization and applications Vol. 89; no. 3; pp. 769 - 803
Main Authors:	Carrizo, G. A., Fazzio, N. S., Sánchez, M. D., Schuverdt, M. L.
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.12.2024
Subjects:	Convex and Discrete Geometry Management Science Mathematics Mathematics and Statistics Operations Research Operations Research/Decision Theory Optimization Statistics Augmented Lagrangian methods Global convergence Nonlinear programming Sequential optimality conditions
ISSN:	0926-6003, 1573-2894
Online Access:	Get full text
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