Existence of Multiple Fixed Points for Nonlinear Operators and Applications
Acta Mathematica Sinica, English Series
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Acta Mathematica Sinica, English Series  2008, Vol. 24 Issue (7): 1079-1088    DOI: 10.1007/s10114-007-5506-4
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Existence of Multiple Fixed Points for Nonlinear Operators and Applications
Jing Xian SUN1, Ke Mei SUN2
1. Department of Mathematics, Xuzhou Normal University, Xuzhou, 221116, P. R. China;
2. Department of Mathematics, Qufu Normal University, Qufu, 273165, P. R. China
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Abstract In this paper, by the fixed point index theory, the number of fixed points for sublinear and asymptotically linear operators via two coupled parallel sub-super solutions is studied. Under suitable conditions, the existence of at least nine or seven distinct fixed points for sublinear and asymptotically linear operators is proved. Finally, the theoretical results are applied to a nonlinear system of Hammerstein integral equations.
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Jing Xian SUN
Ke Mei SUN
Key wordscone   fixed point index   parallel sub-super solutions     
Received: 2005-09-30;
Fund: This work is supported by the National Natural Science Foundation of China (10671167, 10471075)
Cite this article:   
Jing Xian SUN,Ke Mei SUN. Existence of Multiple Fixed Points for Nonlinear Operators and Applications[J]. Acta Mathematica Sinica, English Series, 2008, 24(7): 1079-1088.
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http://www.actamath.com/Jwk_sxxb_en//EN/10.1007/s10114-007-5506-4      or     http://www.actamath.com/Jwk_sxxb_en//EN/Y2008/V24/I7/1079
 
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