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<p>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.</p>

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Strongly cofinally Cauchy regular functions

  • 期刊论文

  • 发表日期：

    2025年3月26日

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  • Argha Ghosh

摘要

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.