| 一类混合单调算子新的不动点定理及其应用 |
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| 引用本文： | 尹建东. 一类混合单调算子新的不动点定理及其应用[J]. 应用泛函分析学报, 2009, 11(3): 268-273 |
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| 作者姓名： | 尹建东 |
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| 作者单位： | 南昌大学,数学系,南昌,330031 |
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| 基金项目： | 江西省自然科学青年基金 |
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| 摘 要： | 引入了广义Φ凹（-φ）凸算子这一概念,在非紧非连续条件下,得到了混合单调算子的几个新的不动点存在唯一性定理.最后给出了一个应用.
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| 关 键 词： | 锥 混合单调算子 不动点 广义Φ凹（-φ）凸算子 |
Existence and Uniqueness of New Fixed Points for a Class of Mixed Monotone Operators and Application |
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| YIN Jian-dong. Existence and Uniqueness of New Fixed Points for a Class of Mixed Monotone Operators and Application[J]. Acta Analysis Functionalis Applicata, 2009, 11(3): 268-273 |
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| Authors: | YIN Jian-dong |
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| Affiliation: | YIN Jian-dong (Department of Mathematics, Nanchang University, Nanchang 330031, China) |
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| Abstract: | The definition of generalized Φ convex（-φ） concave operator is introduced.Without any compactness or continuity of the operators,some new existence and uniqueness theorems of fixed points for the mixed monotone operators are obtained.In the end,a new result is applied to the Hammerstein integral equation. |
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| Keywords: | cone mixed monotone operator fixed point generalized Φconvex（-φ） concave operators |
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