| 一类增算子的不动点定理的推广及应用 |
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| 引用本文： | 张斐然.一类增算子的不动点定理的推广及应用[J].大学数学,2005,21(5):40-43. |
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| 作者姓名： | 张斐然 |
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| 作者单位： | 商丘师院,数学系,河南,商丘,476000 |
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| 摘 要： | 利用锥理论单调迭代技巧,研究Banach空间中不具有任何紧性、连续性和凹凸性条件的增算子的不动点的存在唯一性,所得结果改进和推广了增算子的某些已知相应结果.
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| 关 键 词： | 锥与半序 增算子 不动点 |
| 文章编号： | 1672-1454（2005）05-0040-04 |
| 收稿时间： | 2004-10-08 |
| 修稿时间： | 2004年10月8日 |
Generalizations of Fixed Point Theorems of Some Increasing Operators and Applications |
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| ZHANG Fei-ran.Generalizations of Fixed Point Theorems of Some Increasing Operators and Applications[J].College Mathematics,2005,21(5):40-43. |
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| Authors: | ZHANG Fei-ran |
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| Abstract: | By using the cone theory and the monotone succession skills, it is studied the existence uniqueness of fixed point for a class of increasing operators without continuity and compactness and concave or convex conditions in Banach spaces. The results presented here improve and generalize some corresponding results for increasing operator. |
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| Keywords: | cone and partial ordering increasing operators fixed point |
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