On approximate isometries and application to stability of a functional equation

DOI10.1016/j.jmaa.2015.01.045zbMath1314.39033OpenAlexW2048512094MaRDI QIDQ2515120

Yun Bai Dong

Publication date: 11 February 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.01.045

zbMATH Keywords

functional equationisometryBanach spaceHyers-Ulam stability of isometry

Mathematics Subject Classification ID

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

Related Items (7)

On generalized Hyers-Ulam stability of additive mapings on restricted domains of Banach spaces ⋮ On stability of almost surjective functional equations of uniformly convex Banach spaces ⋮ Unnamed Item ⋮ Stability of two variable pexiderized quadratic functional equation in intuitionistic fuzzy Banach spaces ⋮ A note on stability of maps which preserve equality of distance ⋮ Stability property of functional equations in modular spaces: a fixed-point approach ⋮ A fixed point approach to the Hyers-Ulam-Rassias stability problem of pexiderized functional equation in modular spaces

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