Acta mathematica scientia,Series A ›› 2008, Vol. 28 ›› Issue (6): 1023-1028.

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Fixed Point Theorems of u0 - concave Operators and Applications

Zhai Chengbo;Li Yongjin   

  1. (School of Mathematical Science, Shanxi University, Taiyuan 030000)
  • Received:2007-04-28 Revised:2008-06-30 Online:2008-12-25 Published:2008-12-25
  • Contact: Zhai Chengbo

Abstract:

In this paper, the existence and uniqueness of positive fixed points for u0-concave operators is obtained by means of the properties of cone and monotone iterative technique. The results extend and improve the corresponding results. As an application, we utilize the results obtained in this paper to study the existence and uniqueness of positive solutions for a class of Hammerstein integral equations.

Key words: u0-concave operator, Normal cone, Fixed point

CLC Number: 

  • 47H10
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