\(H\)-partial uniform spaces and their application in the compression of digital images (Q6640030)
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scientific article; zbMATH DE number 7945996
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(H\)-partial uniform spaces and their application in the compression of digital images |
scientific article; zbMATH DE number 7945996 |
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\(H\)-partial uniform spaces and their application in the compression of digital images (English)
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18 November 2024
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This is an incisive, fundamentally important paper that\N\begin{itemize}\N\item[1.] introduces partial uniform spaces as a generalization of metric spaces.\N\item[2.] proves fixed point theorems for H-partial uniform spaces by using a map called an E-distance function.\N\item[3.] application of fixed point theorems to compress digital images. \N\end{itemize}\N\NAmong the many important results given in this paper, the following main result is given with a detailed proof. \N\N\textbf{Theorem 3.28} The topology generated by a completely regular H-partial uniformity is Hausdorff. \N\NThis paper also includes 22 helpful references.
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uniform spaces
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uniformly continuous maps
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fixed point theorems
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probe functions
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