不动泛系定理的一些新研究

New Studies of Pansystems Fixed Theorems

泛对称概念是传统的对称、守恒性和稳定性等概念的引申或推广，有关泛对称的泛系研究，特别是有关结构或关系的相对守恒性或广义封闭性的研究，是不动泛系定理的核心内容．不动子集描述了一种典型的泛对称或稳定性，它是传统的不动点概念的推广．本文主要讨论了不动子集关于二元关系的几种典型直积运算形式的守恒性或封闭性，研究了不动子集在转化下的守恒规律．所得结果补充或推广了文献［１～３］中有关结论．

The concept of pansymmetry is the extension of traditional symmetry, conservation, stability and etc. The pansystems studies on pansymmetry, especially on the relative conservation and general closure of related structures or relations are the kernel contents of fixed pansystems theorems. Fixed subsets describe a typical kind of pansymmetry or stability. It is the extension of the concept of the traditional fix point problem. This paper mainly discusses the conservation or closure of fixed subsets according to several typical product operations of binary relations and studies the conservation law of fixed subsets under various transformations. The results obtained are complements or extensions of the related results in references. [WTHZ〗