Determination of functions by metric slopes

DOI10.1090/proc/15958OpenAlexW4206782360MaRDI QIDQ5869407

David Salas, Aris Daniilidis

Publication date: 28 September 2022

Full work available at URL: https://arxiv.org/abs/2109.13721

zbMATH Keywords

determination of a functionmetric slope

Mathematics Subject Classification ID

Convexity of real functions of several variables, generalizations (26B25) Special properties of functions of several variables, Hölder conditions, etc. (26B35) Real-valued functions in general topology (54C30) Constructive real analysis (26E40)

Related Items (1)

The slope robustly determines convex functions

Cites Work

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• Metric viscosity solutions of Hamilton-Jacobi equations depending on local slopes
• Error bounds: necessary and sufficient conditions
• Equivalence of solutions of eikonal equation in metric spaces
• Determination of convex functions via subgradients of minimal norm
• Gradient flows and evolution variational inequalities in metric spaces. I: structural properties
• Curves of Descent
• Gradient Flows, Second-Order Gradient Systems and Convexity
• Variational Analysis of Regular Mappings
• Characterizations of error bounds for lower semicontinuous functions on metric spaces
• Eikonal equations in metric spaces

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