Journal of Convex Analysis 31 (2024), No. 4, 1203--1212
Copyright Heldermann Verlag 2024
Dual Characterizations of Three Distance Functions
Juan Enrique Martínez-Legaz
(1) Department d'Economia i d'Història Econòmica, Universitat Autònoma de Barcelona, Barcelona, Spain
(2) Barcelona Graduate School of Mathematics, Barcelona, Spain
juanenrique.martinez.legaz@uab.cat
Ordinary distance functions, oriented distance functions and farthest distance functions are characterized in terms of convex conjugates and Fenchel subdifferentials.
Keywords: Distance function, oriented distance function, farthest distance function, Fenchel conjugate, Fenchel subdifferential.
MSC: 46B20, 26B25.
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