Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
\(H\)-partial uniform spaces and their application in the compression of digital images - MaRDI portal

\(H\)-partial uniform spaces and their application in the compression of digital images (Q6640030)

From MaRDI portal





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

    Statements

    \(H\)-partial uniform spaces and their application in the compression of digital images (English)
    0 references
    0 references
    0 references
    18 November 2024
    0 references
    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.
    0 references
    uniform spaces
    0 references
    uniformly continuous maps
    0 references
    fixed point theorems
    0 references
    probe functions
    0 references

    Identifiers