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Proceedings of the American Mathematical Society

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Fixed points for operators in a space
of continuous functions and applications


Author: Bendong Lou
Journal: Proc. Amer. Math. Soc. 127 (1999), 2259-2264
MSC (1991): Primary 47H10
DOI: https://doi.org/10.1090/S0002-9939-99-05211-9
Published electronically: April 8, 1999
MathSciNet review: 1646199
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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

DOI: https://doi.org/10.1090/S0002-9939-99-05211-9
Keywords: Fixed point, self-maps of a closed set, iterative sequence
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
Article copyright: © Copyright 1999 American Mathematical Society