A formula for the superdifferential of the distance determined by the gauge function to the complement of a convex set

DOI10.1134/S000143461911004XzbMath1442.46058WikidataQ126471563 ScholiaQ126471563MaRDI QIDQ2304483

S. I. Dudov, M. A. Osiptsev

Publication date: 12 March 2020

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

distance functionasymmetric normsupport functionsuperdifferentialcone of feasible directionsMinkowski gauge function

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Set-valued operators (47H04) Programming in abstract spaces (90C48) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10)

Cites Work

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• Continuous operators on asymmetric normed spaces
• On a generalized best approximation problem
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• Inner estimation of a convex set by a norm body.
• Quasi-metric properties of complexity spaces
• Functional Analysis in Asymmetric Normed Spaces
• Existence Of Nearest Points In Banach Spaces
• Separation theorems for nonconvex sets in spaces with non-symmetric seminorm
• Directional differentiability of the distance function

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