一类不动子集的泛系研究
Pansystems Research on a Type of Fixed Subsets
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摘要: 本文继续有关不动子集的泛系研究.在泛系框架下得到了Ⅰ型不动子集的存在准则;给出了自反关系类及等价关系类与不动子集的关系定理;引进了二元关系的不动点概念并对一类泛权网络建立了几个不动点存在定理.Abstract: The present paper continues the pansystems research, on fixed suhsi is. Unier ihe pansystems framework it gives the existence criterion of I-type fixed subsets, and the theorems about the relations between the classes of reflexive and equivalent relations and fixed subsets; introduces the concept of fixpoints of binary relations existence theorems about fixpoints for a kind of panveeighted network.
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[1] Wu Xue-mou,Fixed pansystems theorems and pansystems catastrophe analysis of pan-weighted network,J,of Math.Research and Exposition,1(1984). [2] Smart,D,R.,Fixed Point Theorems,Cambridge University Press(1980). [3] 李贵华,不动泛系定理及其进展,大自然探素(待发表). [4] 李贵华,不动泛系定理中结构与数最的特征描述,应用数学和力学,5,6(1984),887-893. [5] 高隆颖、王书基,泛对称与不动泛系定理,应用数学和力学,5,5(1984),743-747. [6] Wu Xue-mou,Pansystems methodology:Concepts,theorems and applications(I-Ⅷ),Science F,xploration,1,2.4(1982),1,4(1983),etc.
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