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An improvement of the Arzela-Ascoli theorem

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Publication:411801
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DOI10.1016/j.topol.2012.01.014zbMath1245.54017OpenAlexW2045590038MaRDI QIDQ411801

Ronglu Li, Shu-hui Zhong, Charles W. Swartz

Publication date: 30 April 2012

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2012.01.014


zbMATH Keywords

topology of uniform convergenceArzelà-Ascoli theorem


Mathematics Subject Classification ID

Function spaces in general topology (54C35) Compactness (54D30) Uniform structures and generalizations (54E15) Compactness in Banach (or normed) spaces (46B50) Semimetric spaces (54E25)


Related Items (4)

A variational model with fractional-order regularization term arising in registration of diffusion tensor image ⋮ Ascoli-type theorems in the cone metric space setting ⋮ Stability and feedback control for a coupled hematopoiesis nonlinear system ⋮ Arzela-Ascoli theorem for demi-linear mappings



Cites Work

  • The Kolmogorov-Riesz compactness theorem
  • On strong form of Arzela convergence
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