| 一类非线性算子的耦合不动点 |
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| 引用本文： | 陈芳启.一类非线性算子的耦合不动点[J].山东大学学报(理学版),1997(1). |
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| 作者姓名： | 陈芳启 |
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| 作者单位： | Dept.of Math.，Shandong Univ.，Jinan |
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| 基金项目： | 国家自然科学基金,国家教委博士点专项科研基金 |
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| 摘 要： | 研究了较混合单调算子更为广泛的一类非线性算子的耦合不动点的存在性及迭代求法．给出的结果推广、包含了几个关于混合单调算子耦合不动点的已有结果．应用它们讨论了常微分方程初值问题的广义耦合拟解的存在条件及迭代求法
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| 关 键 词： | 混合单调算子 耦合不动点 迭代方法 锥 |
COUPLED FIXED POINTS FOR A CLASS OF NONLINEAR OPERATORS |
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| Chen,Fangqi.COUPLED FIXED POINTS FOR A CLASS OF NONLINEAR OPERATORS[J].Journal of Shandong University,1997(1). |
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| Authors: | Chen Fangqi |
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| Abstract: | A class of nonlinear operators which are more extensive than mixed monotone operators is studied.Some existence theorems and iterative methods are given,which extend some former related results.The theorems are applied to discuss the existence conditions and iterative methods of generalized coupled quasisolutions for initial value problems of ordinary differential equations in Banach spaces. |
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| Keywords: | mixed monotone operators coupled fixed points iterative method cone |
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