| T—单调算子的不动点及其应用 |
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| 引用本文： | 刘笑颖.T—单调算子的不动点及其应用[J].徐州师范大学学报(自然科学版),2002,20(2):1-8. |
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| 作者姓名： | 刘笑颖 |
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| 作者单位： | 徐州师范大学,数学系,江苏,徐州,221116 |
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| 摘 要： | 证明了抽象空间中一类T-单调算子的最大、最小不动点定理，改进了已知献的结果，作为应用，获是了Ba-nach空间中不连续的Volterra积分方程与含间断项的常微分方程初值问题最大解与最小解的存在性。
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| 关 键 词： | 不动点 T－单调算子 Volterra积分方程 初值问题 序Hanach空间 常微分方程 最大解 最小解 |
Fixed Points for T-monotone Operators and Applications |
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| LIU Xiao-ying.Fixed Points for T-monotone Operators and Applications[J].Journal of Xuzhou Normal University(Natural Science Edition),2002,20(2):1-8. |
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| Authors: | LIU Xiao-ying |
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| Abstract: | The maximal and minimal fixed points theorems for a class of T monotone operators in abstract spaces are proved, and some well known results are improved. As applications, the existence of extremal solutions for the discontinuous Volterra integral equation and the initial value problem (IVP) of differential equation with the discontinuous term in Banach spaces are discussed. |
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| Keywords: | fixed point T monotone operator Volterra integral equation initial value problem ordered Banach space |
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