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局部凸线性Hausdorff拓扑空间上非膨胀型映射的不动点
引用本文:赵晓全.局部凸线性Hausdorff拓扑空间上非膨胀型映射的不动点[J].电机与控制学报,1988(4).
作者姓名:赵晓全
作者单位:哈尔滨电工学院数学教研室
摘    要:本文考虑了一类带边界条件的非膨胀型映射的不动点问题,在空间具有正规结构性质的假设下,证明了这类映射有不动点存在,推广了某些非膨胀自映射的不动点定理.

关 键 词:局部凸空间  非扩张算子  不动点.

Fixed Points for Mappings of Nonexpansive Type on Locally Convex Linear Hausdorff Topological Spaces
Zhao Xiaoquan.Fixed Points for Mappings of Nonexpansive Type on Locally Convex Linear Hausdorff Topological Spaces[J].Electric Machines and Control,1988(4).
Authors:Zhao Xiaoquan
Affiliation:Teaching and Researching Section of Mathematics
Abstract:This paper deals with the fixed point probrlems of nonexpansive mappings with boundary conditions.On the assumption of normal structure or other space conditions, it is proved that these mappings have fixed points. Some of the results generalize some fixed point theorems of nonexpansive self mappings.
Keywords:locally convex space  non expansive operators  fixed point  
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