On uniform strict minima for vector-valued functions

• Autorzy: Bednarczuk E. M. , Leśniewski K.
• Języki publikacji: EN

Abstrakty

EN

We introduce uniform strict minima for vector-valued functions and provide conditions for their Lipschitz continuity as functions of linear perturbations. We also investigate regularity propertiesof subdifferentialsfor cone convexvector-valuedfunctions.

Słowa kluczowe

EN

uniform strict minima; K-convex mappings; metric subregularity; domination property

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2015
• Tom: Vol. 44, no. 2
• Strony: 257--273
• Opis fizyczny: Bibliogr. 12 poz., rys., tab.

Twórcy

autor

Bednarczuk E. M.

• Warsaw University of Technology, Faculty of Mathematics and Information Science, ul. Koszykowa 75, 00-662 Warsaw, Poland
• Systems Research Institute, Polish Academy of Sciences, Newelska 6, 01-447 Warsaw, Poland

autor

Leśniewski K.

• Warsaw University of Technology, Faculty of Mathematics and Information Science, ul. Koszykowa 75, 00-662 Warsaw, Poland

Bibliografia

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• 2. ARAGÓN ARTACHO F. J. , GEOFFROY M. H. (2014) Metric subregularity of the convex subdifferential in Banach spaces. Journal of Nonlinear and Convex Analysis, 15, 1, 35–47.
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• 10. STAMATE C. (2003) A survey on the vector subdifferentials. Analele Stiintifice Ale Universitatii "Al. I. CUZA", Iasi, s.I. a, Matematica, XLIX, 25–44.
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