<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The notions of almost somewhat near continuity of functions and near regularity of spaces are introduced. Some properties of almost somewhat nearly continuous functions and their connections are studied. At the end, it is shown that a one-to-one almost somewhat nearly continuous function <italic>f</italic> from a space <italic>X</italic> onto a space <italic>Y</italic> is somewhat nearly continuous if and only if the range of <italic>f</italic> is nearly regular.</p></abstract>

The notions of almost somewhat near continuity of functions and near regularity of spaces are introduced. Some properties of almost somewhat nearly continuous functions and their connections are studied. At the end, it is shown that a one-to-one almost somewhat nearly continuous function f from a space X onto a space Y is somewhat nearly continuous if and only if the range of f is nearly regular.

Almost Somewhat Near Continuity and Near Regularity

Moroccan Journal of Pure and Applied Analysis

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Almost Somewhat Near Continuity and Near Regularity"}

The notions of almost somewhat near continuity of functions and near regularity of spaces are introduced. Some properties of almost somewhat nearly continuous...

Almost Somewhat Near Continuity and Near Regularity

Publié en ligne: 14 déc. 2020

Pages: 88 - 99

Reçu: 28 sept. 2020

Accepté: 14 nov. 2020

DOI: https://doi.org/10.2478/mjpaa-2021-0009

Mots clés
almost quasicontinuous, almost -continuous, almost somewhat continuous, semiregular space, nearly regular space

© 2020 Zanyar A. Ameen, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Almost Somewhat Near Continuity and Near Regularity

Publié en ligne: 14 déc. 2020

Pages: 88 - 99

Reçu: 28 sept. 2020

Accepté: 14 nov. 2020

DOI: https://doi.org/10.2478/mjpaa-2021-0009

Mots clésalmost quasicontinuous, almost -continuous, almost somewhat continuous, semiregular space, nearly regular space

© 2020 Zanyar A. Ameen, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Mots clés
almost quasicontinuous, almost -continuous, almost somewhat continuous, semiregular space, nearly regular space