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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 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Fixed points for operators in a space of continuous functions and applications
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by Bendong Lou PDF
Proc. Amer. Math. Soc. 127 (1999), 2259-2264 Request permission

Abstract:

This paper investigates the fixed points for self-maps of a closed set in a space of abstract continuous functions. Our main results essentially extend the Banach contracting mapping principle. An application to integro-differential equations is given.
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Additional Information
  • Bendong Lou
  • Affiliation: Department of Mathematics, Shandong University, Jinan 250100, People’s Republic of China
  • Email: blou@math.sdu.edu.cn
  • Received by editor(s): October 10, 1997
  • Published electronically: April 8, 1999
  • Additional Notes: The author is supported by the National Natural Science Foundation of China and the State Education Commission Doctoral Foundation of China.
  • Communicated by: David R. Larson
  • © Copyright 1999 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 127 (1999), 2259-2264
  • MSC (1991): Primary 47H10
  • DOI: https://doi.org/10.1090/S0002-9939-99-05211-9
  • MathSciNet review: 1646199