Daniilidis, A. (2023, July 3). Determination of functions by Metric Slopes [Presentation]. 16-th International Workshop on Well-posedness of Optimization Problems and Related Topics, Borovets, Bulgaria.
E105 - Institut für Stochastik und Wirtschaftsmathematik E105-04 - Forschungsbereich Variationsrechnung, Dynamische Systeme und Operations Research
-
Date (published):
3-Jul-2023
-
Event name:
16-th International Workshop on Well-posedness of Optimization Problems and Related Topics
en
Event date:
3-Jul-2023 - 7-Jul-2023
-
Event place:
Borovets, Bulgaria
-
Keywords:
Metric Sphere; Local metric; Lipschitz function; Determination
en
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 compact metric spaces using the notion of metric slope and discuss extensions in a more general case.
en
Additional information:
Talk based on several works in collaboration with:
T. M. Le (TU Wien, Austria), L. Miclo (TSE, France) and D. Salas (UOH,
Chile).
