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On lower Lipschitz continuity of minimal points

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EN
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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.
Twórcy
  • Systems Research Institute, PAS, 01-447 Warsaw, Newelska 6, Poland
Bibliografia
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  • [4] E. Bednarczuk, On lower semicontinuity of minimal points, to appear in Nonlinear Analysis, Theory and Applications.
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  • [24] X.Q. Yang, Directional derivatives for set-valued mappings and applications, Mathematical Methods of OR 48 (1998), 273-283.
Typ dokumentu
Bibliografia
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bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1014
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