Function of region (Q1089447)
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scientific article; zbMATH DE number 4004525
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Function of region |
scientific article; zbMATH DE number 4004525 |
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Function of region (English)
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1986
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The purpose of this paper is to extend point functions and interval functions to an arbitrary nonempty region. A new theory of the contraction of a region, the retraction of a region, the extension of a region, and the kernel-preserving extension of a region is established by the author. Starting from these concepts, a new definition of a region function is given. A kernel (i.e. fixed point) of a region function is connected with the stable centre of the defining region of such a region function. Thereby, the region theoretics and algorithms are established.
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contraction of a region
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retraction of a region
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kernel-preserving extension of a region
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region function
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