Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Convexification of super weakly compact sets and measure of super weak noncompactness
HTML articles powered by AMS MathViewer

by Kun Tu
Proc. Amer. Math. Soc. 149 (2021), 2531-2538
DOI: https://doi.org/10.1090/proc/15393
Published electronically: March 22, 2021

Abstract:

In the paper, we give a quantitative version of the positive answer to the open question about the convex hull of a super weakly compact set. Measure of super weak noncompactness $\sigma$ is introduced and proved to share several nice properties with the Hausdorff measure of noncompactness. As an application, a fixed point theorem for $\sigma$-condensing maps is given.
References
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC (2020): 46B20, 46B50, 47H10
  • Retrieve articles in all journals with MSC (2020): 46B20, 46B50, 47H10
Bibliographic Information
  • Kun Tu
  • Affiliation: School of Mathematical Sciences, Yangzhou University, Yangzhou 225002, People’s Republic of China
  • Address at time of publication: School of Mathematical Sciences, Yangzhou University, Siwangting Road No.180, Yangzhou 225002, People’s Republic of China
  • MR Author ID: 1107434
  • ORCID: 0000-0002-6197-0372
  • Email: tukun@yzu.edu.cn
  • Received by editor(s): May 11, 2020
  • Received by editor(s) in revised form: September 17, 2020
  • Published electronically: March 22, 2021
  • Additional Notes: The author was partially supported by NSFC, grant no. 11701501, and the post doctoral funding of Yangzhou University, grant no. 137070608.
  • Communicated by: Stephen Dilworth
  • © Copyright 2021 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 149 (2021), 2531-2538
  • MSC (2020): Primary 46B20, 46B50, 47H10
  • DOI: https://doi.org/10.1090/proc/15393
  • MathSciNet review: 4246803