| 混合单调算子的不动点定理及其应用 |
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| 引用本文： | 张志涛.混合单调算子的不动点定理及其应用[J].数学学报,1998,41(6):0-1126. |
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| 作者姓名： | 张志涛 |
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| 作者单位： | 中国科学院数学研究所!北京，100080 |
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| 摘 要： | 本文利用半序方法研究了两类混合单调算子，在非紧非连续性假设下得到了不动点的存在唯一性，并把所得结果应用于RN上的Hammerstain积分方程.
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| 关 键 词： | 锥和半序 混合单调算子 不动点 |
Fixed Point Theorems of Mixed Monotone Operators and Its Applications |
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| Zhang Zhitao.Fixed Point Theorems of Mixed Monotone Operators and Its Applications[J].Acta Mathematica Sinica,1998,41(6):0-1126. |
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| Authors: | Zhang Zhitao |
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| Institution: | Zhang Zhitao(Institute of Mathematics, Academic Sinica, Beijing 100080, China) |
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| Abstract: | In this paper, we use partial order theory to study mixed monotone operators,and get existence and uniqueness of fixed point without assuming the operator to be compact or continuous. And apply the new results to Hammerstain integral equations on RN. |
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| Keywords: | Cone and partial order Mixed monotone operator Fixed point |
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