| 凸度量空间上非线性映射序列的公共不动点的构造 |
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| 引用本文： | 汪遐昌.凸度量空间上非线性映射序列的公共不动点的构造[J].四川师范大学学报(自然科学版),1991(3). |
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| 作者姓名： | 汪遐昌 |
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| 作者单位： | 成都师范专科学校 彭县 |
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| 摘 要： | 本文构造了凸度量空间上拟压缩映射序列、广义拟压缩映射序列、拟非扩张映射序列的公共不动点;同时给出了严格凸度量空间上拟非扩张映象、连续映象迭代序列的收敛性定理.
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| 关 键 词： | 凸度量空间 严格凸度量空间 拟压缩映射序列 拟非扩张映射序列 不动点 |
ON THE CONSTRUCTIONS OF COMMON FIXED POINTS FOR THE SEQUENCE OF NONLINEAR MAPPINGS IN CONVEX METRIC SPACES |
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| Wang Xiachang Chengdu Teacher's College,Penxian ,Sichuan.ON THE CONSTRUCTIONS OF COMMON FIXED POINTS FOR THE SEQUENCE OF NONLINEAR MAPPINGS IN CONVEX METRIC SPACES[J].Journal of Sichuan Normal University(Natural Science),1991(3). |
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| Authors: | Wang Xiachang Chengdu Teacher's College Penxian Sichuan |
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| Institution: | Wang Xiachang Chengdu Teacher's College,Penxian 611930,Sichuan |
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| Abstract: | This paper gives the constructions of common fixed points for the sequences of quasi-contractive mappings,generalized quasi-contractive mappings and quasi-nonexpansive mappings in convex metric spaces.Some convergence theorems of iterative sequence for quasi-nonexpansive mappings and continuous mappings are also obtained in the strictly convex metric spaces. |
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| Keywords: | convex metric space strictly convex metric space sequence of quasi-contractive mapping sequence of quasi-nonexpansive mapping fixed point common fixed point |
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