| 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) |
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| 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(3):40-43. |
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| 作者姓名： | 徐星 张春花 |
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| 作者单位： | 徐州师范大学数学科学学院; |
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| 基金项目： | supported by the National Natural Science Foundation of China(10371010) |
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| 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.
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| 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 |
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| 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(3):40-43. |
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| Authors: | Xu Xing Zhang Chunhua |
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| Institution: | Xu Xing,Zhang Chunhua(School of Mathematical Science,Xuzhou Normal University,Xuzhou 221116,Jiangsu,China) |
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| 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. |
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| Keywords: | mixed monotone operator positive linear operator fixed point |
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