THE RELATIONSHIP BETWEEN LIPSCHITZ EXTENSIONS, BEST APPROXIMATIONS, AND CONTINUOUS SELECTIONS

DOI10.1080/16073606.1991.9631644zbMath0744.41024OpenAlexW1972017136MaRDI QIDQ3981987

Sizwe Mabizela

Publication date: 26 June 1992

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/16073606.1991.9631644

zbMATH Keywords

continuous selectionsmetric projectionLipschitz extensionsHelly extensions

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Set-valued and function-space-valued mappings on manifolds (58C06) Nonlinear operators and their properties (47H99)

Cites Work

• Functions satisfying Lipschitz conditions
• Selected Selection Theorems
• Extension of functions satisfying a Lipschitz condition

This page was built for publication: THE RELATIONSHIP BETWEEN LIPSCHITZ EXTENSIONS, BEST APPROXIMATIONS, AND CONTINUOUS SELECTIONS