ON DISTANCE-PRESERVING MAPPINGS

DOI10.4134/JKMS.2004.41.4.667zbMath1053.51008MaRDI QIDQ4822735

Jung, Soon-Mo, Themistocles M. Rassias

Publication date: 25 October 2004

Published in: Journal of the Korean Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

linear isometryAleksandrov problemreal normed spacedistance-preserving mappingBenz theoremcontractive distanceextensive distancehalf space of a real Hilbert spaceTheorem of Beckman and Quarles

Mathematics Subject Classification ID

General theory of distance geometry (51K05) Euclidean geometries (general) and generalizations (51M05)

Related Items (4)

The stability of some points arising from continuous, differential and integral expressions ⋮ The Aleksandrov-Benz-Rassias problem on linear \(n\)-normed spaces ⋮ Some Remarks on the Group of Isometries of a Metric Space ⋮ The distance preserving mappings and isometrics defined on non-Archimedean Banach spaces

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