On the sensitivity of Pareto efficiency in set-valued optimization problems

In this paper we present two main situations when the limit of Pareto minima of a sequence of perturbations of a set-valued map F is a critical point of F . The concept of criticality is understood in the Fermat generalized sense by means of limiting (Mordukhovich) coderivative. Firstly, we consider...

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Bibliographic Details
Published in:	Journal of global optimization Vol. 78; no. 3; pp. 581 - 596
Main Authors:	Durea, Marius, Strugariu, Radu
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.11.2020 Springer Springer Nature B.V
Subjects:	Analysis Computer Science Cones Critical point Efficiency Mapping Mathematics Mathematics and Statistics Operations Research/Decision Theory Optimization Pareto efficiency Pareto optimum Perturbation Real Functions Pareto minimality Sensitivity 49J53 49K40 Openness with respect to a cone 90C29 Criticality
ISSN:	0925-5001, 1573-2916
Online Access:	Get full text
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