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局部凸扑拓空间中α—型压缩映射的不动点
引用本文:施德明 ,石东洋.局部凸扑拓空间中α—型压缩映射的不动点[J].信阳师范学院学报(自然科学版),1988(3).
作者姓名:施德明  石东洋
作者单位:Shi Deming,Shi Dongyang
摘    要:局部凸拓扑空间上的不动点问题,在七十年代初由C.H.Su和V.M.seh-gal,G.L.Cain.JK.和M.Z.Nashed〔2〕提出的,并作了研究,取得了一些重要结果,使不动点理论更深入发展。本文中给出了局部凸拓扑空间中一类映射族的公共不动点定理,推广了已有的某些结果。

关 键 词:局部凸拓扑空间  α—型压缩映射  不动点

The Fixed Point of a-type Contraction Mapping in Locally Convex Spaces
Shi Deming,Shi Dongyang.The Fixed Point of a-type Contraction Mapping in Locally Convex Spaces[J].Journal of Xinyang Teachers College(Natural Science Edition),1988(3).
Authors:Shi Deming  Shi Dongyang
Abstract:The question of the fixed Point in locally convex spaces was raised in the early 1970s by C.H. Su & V. M. Sehgal as wall as by G. L. Cain, Jk & M. Z. Nashed. They made a study of it and obtained some important results which developed the theory of the fixed point This paper presents some common fixed point theorems of a kind of contraction mappings in the locally convex linear topological space and spreads some obtained results.
Keywords:
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