2020/12/08 by Lipsy Gupta, S. Kundu, Gupta, Lipsy +1
Computer Science · Mathematics · #Advanced Banach Space Theory #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA) #Optimization and Variational Analysis #math.FA
paper · pdf · doi:10.48550/arxiv.2012.06535
arxiv created 2020/12/08 · openalex publication_date 2020/12/08 · arxiv updated 2020/12/14 · openalex created_date 2020/12/21 · openalex updated_date 2026/07/28
A function between two metric spaces is said to be totally bounded regular if it preserves totally bounded sets. These functions need not be continuous in general. Hence the purpose of this article is to study such functions vis-á-vis continuous functions and functions that are stronger than the continuous functions such as Cauchy continuous functions, some Lipschitz-type functions etc. We also present some analysis on strongly uniformly continuous functions which were first introduced in \cite[BL2] and study when these functions are stable under reciprocation.