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    Article

    A Universal Inequality for Stability of Coarse Lipschitz Embeddings

    Let X and Y be two pointed metric spaces. In this article, we give a generalization of the Cheng–Dong–Zhang theorem for coarse Lipschitz embeddings as follows: If f:X → Y is a standard coarse Lipschitz embedding,...

    Duan Xu Dai, Ji Chao Zhang, Quan Qing Fang… in Acta Mathematica Sinica, English Series (2023)

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    Article

    On universally left-stability of ɛ-isometry

    Let X, Y be two real Banach spaces and ɛ ≥ 0. A map f: X → Y is said to be a standard ɛ-isometry if |‖f(x) − f(y)‖ − ‖x − y‖| ≤ ɛ for all x, y ∈ X and with f(0) = 0. We say that a pair of Banach spaces (X, Y) is ...

    Ling **n Bao, Li **n Cheng, Qing ** Cheng… in Acta Mathematica Sinica, English Series (2013)