Record link: 
http://hdl.handle.net/20.500.12708/200672
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Title: 
Slope determination: from convex to Lipschitz continuous functions
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Citation: 
Daniilidis, A. (2024, April 17). Slope determination: from convex to Lipschitz continuous functions [Presentation]. NCSU Differential Equations/Nonlinear Analysis Seminar, Raleigh, North Carolina, United States of America (the).
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Publication Type: 
Presentation - Presentation
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Language: 
English
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Authors: 
Daniilidis, Aris 
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Organisational Unit: 
E105-04 - Forschungsbereich Variationsrechnung, Dynamische Systeme und Operations Research 
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Date (published): 
17-Apr-2024
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Event name: 
NCSU Differential Equations/Nonlinear Analysis Seminar 
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Event date: 
17-Apr-2024
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Event place: 
Raleigh, North Carolina, United States of America (the)
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Keywords: 
Slope determination; convex functions; Lipschitz framework
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Abstract: 
A convex continuous function can be determined, up to a constant, by its remoteness (distance of the subdifferential to zero). Based on this result, we discuss possible extensions in three directions: robustness (sensitivity analysis), slope determination (in the Lipschitz framework) and general determination theory.
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Project title: 
Unilateralität und Asymmetrie in der Variationsanalyse: P 36344N (FWF - Österr. Wissenschaftsfonds) 
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Research Areas: 
Mathematical and Algorithmic Foundations: 100%
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Science Branch: 
1010 - Mathematik: 100%
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