# On lower Lipschitz continuity of minimal points

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

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

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topEwa 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 -

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