The nearest point theorem for weakly convex sets in asymmetric seminormed spaces

DOI10.1007/978-3-030-10934-9_2zbMath1475.46069OpenAlexW2910165557MaRDI QIDQ2026144

Mariana S. Lopushanski, Maxim O. Golubev, Grigorii E. Ivanov

Publication date: 18 May 2021

Full work available at URL: https://doi.org/10.1007/978-3-030-10934-9_2

zbMATH Keywords

metric projectionweakly convex setsasymmetric seminorm

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) 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) Convex sets in topological vector spaces (aspects of convex geometry) (52A07) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30)

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