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Fixed points of operators without increasing property with applications to nonlinear integral equations
ZHAO Zengqin * #,LIN Xiuli
School of Mathematical Sciences, Qufu Normal University, Qufu 273165
*Correspondence author
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Funding: Research supported by the National Natural Science Foundation of China （No.11571197）, Doctoral Program Foundation of Education Ministry of China （No.20133705110003）
Opened online:26 April 2017
Accepted by: none
Citation: ZHAO Zengqin,LIN Xiuli.Fixed points of operators without increasing property with applications to nonlinear integral equations[OL]. [26 April 2017] http://en.paper.edu.cn/en_releasepaper/content/4727227
 
 
By using the cone theory, it is studied that existence of fixed points of operator $A$ without increasing property. The operator $A$ lies between operators $B_1$ and $B_2$, where $B_1, B_2$ have some increasing property. We obtain the existence of fixed points of the operator $A$ and the interval containing the fixed points. Lastly, the results are applied to a class of nonlinear integral equations.
Keywords:Applied mathematics; partially ordered Banach space, condensing operator, fixed point, nonlinear integral equation
 
 
 

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