| 对称空间、对称的PPM空间及不动点定理 |
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| 引用本文： | 沈雁.对称空间、对称的PPM空间及不动点定理[J].徐州师范大学学报(自然科学版),2010,28(4). |
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| 作者姓名： | 沈雁 |
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| 摘 要： | 本文将对称空间中有关Hausdorff度量的若干条件转化为对称的PPM空间中与之等价的相应条件,证明了对称空间中一个关于单值映射和集值映射对的不动点定理,并将其转化为对称的PPM空间中相应的定理.
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| 关 键 词： | 对称空间 PPM空间 不动点 |
Symmetric spaces, symmetric PPM-spaces and fixed point theorems |
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| SHEN Yan.Symmetric spaces, symmetric PPM-spaces and fixed point theorems[J].Journal of Xuzhou Normal University(Natural Science Edition),2010,28(4). |
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| Authors: | SHEN Yan |
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| Abstract: | We establish the interrelationships between some conditions dealing with the Hausdorff metric in a symmetric space and the corresponding conditions in a symmetric PPM-space. Then we prove a coincident and common fixed point theorem for hybrid pairs of single-valued and set-valued maps in a symmetric PPM-space. |
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| Keywords: | symmetric space PPM-space fixed point |
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