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带有正线性项的混合单调算子的不动点定理及其应用(英文)
引用本文:徐星,张春花. 带有正线性项的混合单调算子的不动点定理及其应用(英文)[J]. 徐州师范大学学报(自然科学版), 2011, 0(3): 40-43
作者姓名:徐星  张春花
作者单位:徐州师范大学数学科学学院;
基金项目:supported by the National Natural Science Foundation of China(10371010)
摘    要:讨论了一类带有正线性项的混合单调算子,借助于迭代技巧,给出这类算子不动点的存在及其唯一性,并将结果应用于一类非线性积分方程中去.

关 键 词:混合单调算子  正线性算子  不动点

Fixed point theorems for mixed monotone operator with positive linear term and applications
Xu Xing,Zhang Chunhua. Fixed point theorems for mixed monotone operator with positive linear term and applications[J]. Journal of Xuzhou Normal University(Natural Science Edition), 2011, 0(3): 40-43
Authors:Xu Xing  Zhang Chunhua
Affiliation:Xu Xing,Zhang Chunhua(School of Mathematical Science,Xuzhou Normal University,Xuzhou 221116,Jiangsu,China)
Abstract:In this paper,a class of mixed monotone operators with positive linear term is discussed.With the aid of iterative technique,the existence and uniqueness of fixed points are obtained.Finally,the results are applied to a nonlinear integral equation.
Keywords:mixed monotone operator  positive linear operator  fixed point  
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