| 几类增算子的不动点定理及其应用 |
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| 引用本文： | 李春平,田青. 几类增算子的不动点定理及其应用[J]. 数学的实践与认识, 2010, 40(14) |
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| 作者姓名： | 李春平 田青 |
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| 摘 要： | 讨论了C[I,E]和L_p[I,E]中几类增算子,得到了若干新的不动点定理,并将其应用于证明非线性微分方程唯一解的存在性.
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| 关 键 词： | 锥 增算子 不动点 |
Fixed Point Theorems for Several Classes of Increasing Operators and Some Applications |
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| LI Chun-ping,TIAN Qing. Fixed Point Theorems for Several Classes of Increasing Operators and Some Applications[J]. Mathematics in Practice and Theory, 2010, 40(14) |
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| Authors: | LI Chun-ping TIAN Qing |
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| Abstract: | The purpose of this paper is to discuss several classes of increasing operators in the spaces C[I,E]and L_p[I,E].Some new fixed point theorems are established and the existence of unique solution for nonlinear different equations is obtained by using one of the theorems. |
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| Keywords: | cone increasing operator fixed point |
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