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.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1014,
author = {Ewa M. Bednarczuk},
title = {On lower Lipschitz continuity of minimal points},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
volume = {20},
year = {2000},
pages = {245-255},
zbl = {0977.90047},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1014}
}
Ewa M. Bednarczuk. On lower Lipschitz continuity of minimal points. Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 20 (2000) pp. 245-255. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1014/
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