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ArticleOriginal scientific text

Title

On lower Lipschitz continuity of minimal points

Authors 1

Affiliations

  1. Systems Research Institute, PAS, 01-447 Warsaw, Newelska 6, Poland

Abstract

In this paper we investigate the lower Lipschitz continuity of minimal points of an arbitrary set A depending upon a parameter u . Our results are formulated with the help of the modulus of minimality. The crucial requirement which allows us to derive sufficient conditions for lower Lipschitz continuity of minimal points is that the modulus of minimality is at least linear. The obtained results can be directly applied to stability analysis of vector optimization problems.

Keywords

ENG
minimal points, Lipschitz continuity, vector optimization

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Discussiones Mathematicae, Differential Inclusions, Control and Optimization
2000/20/2
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Pages:
245-255
Main language of publication
English
Received
2000-01-05
Accepted
2000-04-13
Published
2000

DOI: 10.7151/dmgt.1014

Exact and natural sciences