Hyers-Ulam stability of isometries and non-expansive maps between spaces of continuous functions

On approximate isometries

D. H. Hyers, Stanislaw M. Ulam · Bulletin of the American Mathematical Society · 1945 · 179 citations · Full text

On non linear perturbations of isometries

Matjaž Omladič, Peter Šemrl · Mathematische Annalen · 1995 · 115 citations

Natural Sciences, Mathematics, Dynamical Systems +9

A universal theorem for stability of ε-isometries of Banach spaces

Lixin Cheng, Qingjin Cheng, Kun Tu et al. · Journal of Functional Analysis · 2015 · 43 citations

Natural Sciences, Mathematics, Dynamical Systems +9

Stability of almost surjective ε-isometries of Banach spaces

Igor A. Vestfrid · Journal of Functional Analysis · 2015 · 38 citations

Natural Sciences, Mathematics, Topology +9

On linear isometries and ε-isometries between Banach spaces

Yu Zhou, Zihou Zhang, Chunyan Liu · Journal of Mathematical Analysis and Applications · 2015 · 20 citations

Natural Sciences, Property Law, Topology +6