| 一个增算子的不动点定理 |
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| 引用本文： | 刘笑颖.一个增算子的不动点定理[J].徐州师范大学学报(自然科学版),1993(2). |
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| 作者姓名： | 刘笑颖 |
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| 作者单位： | 徐州师范学院数学系 |
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| 摘 要： | 在较弱的条件下,推出算子T_x=x_0+xKx的最大与最小不动点的存在性,其中K为增算子。
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| 关 键 词： | 半序Banach代数 增算子 最大与最小不动点 |
A FIXED POINT THEOREM FOR AN INCREASING OPERATOR |
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| Liu Xiaoying.A FIXED POINT THEOREM FOR AN INCREASING OPERATOR[J].Journal of Xuzhou Normal University(Natural Science Edition),1993(2). |
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| Authors: | Liu Xiaoying |
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| Institution: | Liu Xiaoying |
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| Abstract: | In this paper,we discuss the existence of the maximal fixed point and minimal fixed point for the operator Tx=x0+xKx, where K is an increasing operator. We get the existence theorem under weaker conditions. |
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| Keywords: | Order Banach algebra Increasing operator Maximal fixed point and minimal fixed point |
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