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第三类非扩张映射的不动点定理
引用本文:潘正义. 第三类非扩张映射的不动点定理[J]. 天津农学院学报, 2000, 7(2)
作者姓名:潘正义
作者单位:天津农学院基础部,天津,300384
摘    要:本文证明了第三类非扩张映射的不动点定理。定理一说明了第三类非扩张映射的不动点与另一和它可交换的映射的不动点之间的关系 ;定理二为第三类非扩张映射族公共不动点定理

关 键 词:非扩张映射  度量空间  不动点定理

Fixed Point Theorems on the Third Class of Nonexpansive Mappings
PAN Zheng-yi. Fixed Point Theorems on the Third Class of Nonexpansive Mappings[J]. Journal of Tianjin Agricultural University, 2000, 7(2)
Authors:PAN Zheng-yi
Abstract:The theorems on the third class of nonexpansive mappings are proved in this paper. Theorem 1 gives the relationship between the fixed point set of a third class of nonexpansive mappings and other fixed point set of a mapping which can exchange with it. Existence theorem of a common fixed point for a family of a third class of nonexpansive mappings is proved.
Keywords:Nonexpansive mapping  Metric space  Fixed point theorem
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