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Fixed points for operators in a space of continuous functions and applications
Author(s):
Bendong
Lou
Journal:
Proc. Amer. Math. Soc.
127
(1999),
2259-2264.
MSC (1991):
Primary 47H10
Posted:
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.
References:
- 1.
- E. C. Titchmarsh, The Theory of the Riemann-Zeta-function, Second Edition, Clarendon Press, Oxford, 1986. MR 88c:11049
- 2.
- L. H. Erbe and Dajun Guo, Periodic boundary value problems for second order integrodifferential equations of mixed type, Appl. Anal., 46 (1992), 249-258. MR 93f:34119
- 3.
- Jingxian Sun and Zengqin Zhao, Extremal solutions of initial value problem for integro-differential equations of mixed type in Banach spaces, Ann. of Diff. Eqs., 8 (1992), 469-475. (CHINA). MR 94c:45012
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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:
10.1090/S0002-9939-99-05211-9
PII:
S 0002-9939(99)05211-9
Keywords:
Fixed point,
self-maps of a closed set,
iterative sequence
Received by editor(s):
October 10, 1997
Posted:
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 of article:
Copyright
1999,
American Mathematical Society
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