A note on stability of maps which preserve equality of distance

DOI10.1007/s00010-016-0428-9zbMath1358.39012OpenAlexW2471353176MaRDI QIDQ727954

Yun Bai Dong

Publication date: 21 December 2016

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

Full work available at URL: https://doi.org/10.1007/s00010-016-0428-9

zbMATH Keywords

stabilityBanach spacesisometriesequality preserving map

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Isometric theory of Banach spaces (46B04)

Cites Work

• Hyers-Ulam-Rassias stability of functional equations in nonlinear analysis
• Hyers-Ulam stability for linear equations of higher orders
• On the stability of functional equations in Banach spaces
• On Hyers-Ulam stability of Wilson's functional equation
• On the Hyers-Ulam stability problem for quadratic multi-dimensional mappings
• The properties of functional inclusions and Hyers-Ulam stability
• On the stability of the linear functional equation in a single variable on complete metric groups
• Stability of the equation of the \(p\)-Wright affine functions
• On approximate isometries and application to stability of a functional equation
• Stability of the preservation of the equality of distance
• On the Stability of the Linear Mapping in Banach Spaces
• ON HYPERSTABILITY OF ADDITIVE MAPPINGS ONTO BANACH SPACES
• Maps which preserve equality of distance
• On the Stability of the Linear Functional Equation
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