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Krasnoselskii type fixed point theorems and applications
Author(s):
Yicheng
Liu;
Zhixiang
Li
Journal:
Proc. Amer. Math. Soc.
136
(2008),
1213-1220.
MSC (2000):
Primary 47H10, 34K13
Posted:
December 5, 2007
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Additional information
Abstract:
In this paper, we establish two fixed point theorems of Krasnoselskii type for the sum of  , where  is a compact operator and  may not be injective. Our results extend previous ones. As an application, we apply such results to obtain some existence results of periodic solutions for delay integral equations and then give three instructive examples.
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Additional Information:
Yicheng
Liu
Affiliation:
Department of Mathematics and System Science, College of Science, National University of Defense Technology, Changsha, 410073, People's Republic of China.
Email:
liuyc2001@hotmail.com
Zhixiang
Li
Affiliation:
Department of Mathematics and System Science, College of Science, National University of Defense Technology, Changsha, 410073, People's Republic of China.
Email:
zhxli02@yahoo.com.cn
DOI:
10.1090/S0002-9939-07-09190-3
PII:
S 0002-9939(07)09190-3
Keywords:
Fixed point theorem,
separate contraction mapping,
periodic solution,
multi-valued mapping,
delay integral equation.
Received by editor(s):
July 28, 2004
Received by editor(s) in revised form:
December 20, 2005
Posted:
December 5, 2007
Communicated by:
David S. Tartakoff
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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