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Strongly cofinally Cauchy regular functions

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    Abstract

    A function between two metric spaces is said to be strongly cofinally Cauchy regular if it maps cofinally Cauchy sequences to sequences having a Cauchy subsequence. We study various properties of such functions, in particular, their relations with other existing functions in the literature, such as Cauchy subregular, cofinally Cauchy regular functions, and locally Lipschitz functions.

    Original languageEnglish
    Article number20
    JournalEuropean Journal of Mathematics
    Volume11
    Issue number2
    DOIs
    Publication statusPublished - 06-2025

    All Science Journal Classification (ASJC) codes

    • General Mathematics

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