%A 何冲
%T FUNCTION OF REGION
%0 Journal Article
%D 1986
%J Applied Mathematics and Mechanics (English Edition)
%R
%P 189-195
%V 7
%N 2
%U {https://www.amm.shu.edu.cn/CN/abstract/article_14768.shtml}
%8 1986-02-18
%X The purpose of this paper is to extend points function and interval functions theoretics to an arbitrary region. For this, the new theory, the contraction of a region, and the retraction of a region; the extension of a region, and the kernel-preserving extension of a region are established by the author. Starting from these concepts, the new definitions of a region function is given. And a kernel (i.e. fixed point) of a region function is connected with a stable centre of defining region of such a region function. Thereby, the region theoretics and algorithms are established.In applications, to find a stable centre of a region, the author has utilized the measure theoretics of matrice defined by Hartfiel[7] and other authors. The measure problems of coefficient matrice of system of equations of linear algebra associated with some region are discussed.