Function of Region

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Article Navigation > Applied Mathematics and Mechanics > 1986 > 7(2): 173-179

Ho Chong. Function of Region[J]. Applied Mathematics and Mechanics, 1986, 7(2): 173-179.

Citation:

Ho Chong. Function of Region[J]. Applied Mathematics and Mechanics, 1986, 7(2): 173-179.

Citation:

Ho Chong. Function of Region[J]. Applied Mathematics and Mechanics, 1986, 7(2): 173-179.

Abstract

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.

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