Daniilidis, A. (2023, September 14). Using slopes to determine continuous functions in metric spaces [Conference Presentation]. International VAO2023, Messina, Italy.
E105-04 - Forschungsbereich Variationsrechnung, Dynamische Systeme und Operations Research
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Date (published):
14-Sep-2023
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Event name:
International VAO2023
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Event date:
14-Sep-2023 - 15-Sep-2023
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Event place:
Messina, Italy
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Keywords:
Metric space; Determination; metric slopes
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Abstract:
Two smooth, convex and bounded from below functions in a Hilbert space are equal up to a constant if and only if their derivatives have the same norm everywhere. We shall give an analogous determination property for the class
of continuous, coercive functions in metric spaces using the notion of metric slope. Extensions in a more general case will be presented in a follow-up talk by D. Salas.
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Project title:
Unilateralität und Asymmetrie in der Variationsanalyse: P 36344N (FWF Fonds zur Förderung der wissenschaftlichen Forschung (FWF))
