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.References
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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