Daniilidis, A. (2024). Subdifferential remoteness, Metric Slopes and Abstract Descent operators. In International Centre for Scientific Culture “E. Majorana” School of Mathematics “G. Stampacchia” (Ed.), Advances in Nonlinear Analysis and Optimization: Book of Abstracts (pp. 7–8).
A convex continuous function can be determined, up to a constant, by its remoteness (distance of the subdifferential to zero).
Three extensions of this result will be discussed: sensitivity analysis (inthe convex framework), 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)