On lower Lipschitz continuity of minimal points

Ewa M. Bednarczuk

Discussiones Mathematicae, Differential Inclusions, Control and Optimization (2000)

  • Volume: 20, Issue: 2, page 245-255
  • ISSN: 1509-9407

Abstract

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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.

How to cite

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Ewa M. Bednarczuk. "On lower Lipschitz continuity of minimal points." Discussiones Mathematicae, Differential Inclusions, Control and Optimization 20.2 (2000): 245-255. <http://eudml.org/doc/271548>.

@article{EwaM2000,
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.},
author = {Ewa M. Bednarczuk},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
keywords = {minimal points; Lipschitz continuity; vector optimization},
language = {eng},
number = {2},
pages = {245-255},
title = {On lower Lipschitz continuity of minimal points},
url = {http://eudml.org/doc/271548},
volume = {20},
year = {2000},
}

TY - JOUR
AU - Ewa M. Bednarczuk
TI - On lower Lipschitz continuity of minimal points
JO - Discussiones Mathematicae, Differential Inclusions, Control and Optimization
PY - 2000
VL - 20
IS - 2
SP - 245
EP - 255
AB - 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.
LA - eng
KW - minimal points; Lipschitz continuity; vector optimization
UR - http://eudml.org/doc/271548
ER -

References

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