On the approximation of the global extremum of a semi-Lipschitz function

DOI10.1007/s00009-009-0003-xzbMath1178.41021OpenAlexW1992716181MaRDI QIDQ2390698

Costica Mustăţa

Publication date: 3 August 2009

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-009-0003-x

zbMATH Keywords

spaces with asymmetric metric

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (1)

On the extensions preserving the shape of a semi-Hölder function

Cites Work

• Best approximation and unique extension of Lipschitz functions
• Norm-preserving extension of convex Lipschitz functions
• Semi-Lipschitz functions and best approximation in quasi-metric spaces
• Asymmetric locally convex spaces
• Properties of the normed cone of semi-Lipschitz functions
• On semi-Lipschitz functions with values in a quasi-normed linear space
• Optimal Search for the Global Maximum of Functions with Bounded Seminorm
• On Quasi-Metric Spaces
• Separation of Convex Sets and Best Approximation in Spaces with Asymmetric Norm
• The Dual Space of an Asymmetric Normed Linear Space
• Extension of range of functions
• A Sequential Method Seeking the Global Maximum of a Function
• The Banach-Mazur theorem for spaces with asymmetric norm and its applications in convex analysis
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