| 乘积空间中非线性算子的极大极小不动点定理及迭代法* |
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| 引用本文： | 兰坤泉,丁协平.乘积空间中非线性算子的极大极小不动点定理及迭代法*[J].应用数学和力学,1992,13(3):209-213. |
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| 作者姓名： | 兰坤泉 丁协平 |
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| 作者单位： | 四川师范大学数学系 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 本文研究了乘积空间中非线性算子的极大极小不动点和迭代法.作为我们结果的推论,一些耦合不动点定理被获得、它们推广了由郭大钧和Lankshmikantham获得的耦合不动点定理.(见Nonlinear Anal、11(1986),623-632)和由兰在4]、6]中获得的结果.
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| 关 键 词： | 极大极小不动点 耦合不动点 |
| 收稿时间： | 1991-02-11 |
Minimal and Maximal Fixed Point Theorems and Iterative Technique for Nonlinear Operators in Product Spaces |
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| Lan Kun-quan Ding Xie-ping.Minimal and Maximal Fixed Point Theorems and Iterative Technique for Nonlinear Operators in Product Spaces[J].Applied Mathematics and Mechanics,1992,13(3):209-213. |
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| Authors: | Lan Kun-quan Ding Xie-ping |
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| Affiliation: | Sichuan Normal Universiiy, Chengdu |
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| Abstract: | In this paper, we study minimal and maximal fixed point theorems and iterative technique for nonlinear operators in product spaces. As a corollary of out result, some coupled fixed point theorems are obtained, which generalize the con pled fixed point theorems obtained by Guo Da-jun and Lankshmikantham and the results obtained by Lan in 4] and 6]. |
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| Keywords: | minimal and maximal fixed point coupled fixed point |
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