Almost Somewhat Near Continuity and Near Regularity

Author:

Ameen Zanyar A.1

Affiliation:

1. Department of Mathematics , College of Science , University of Duhok , Kurdistan Region , Iraq .

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Control and Optimization,Numerical Analysis,Analysis

Reference29 articles.

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2. [2] T. M. Al-Shami, Somewhere dense sets and ST1-spaces, Punjab Univ. J. Math.(Lahore) 49.2 (2017), 101–111.

3. [3] T. M. Al-Shami, and T. Noiri, More notions and mappings via somewhere dense sets, Afrika Matematika 30 7-8 (2019), 1011–1024.

4. [4] T. M. Al-Shami, I. Alshammari and B. A. Asaad, Soft maps via soft somewhere dense sets, Filomat (2020), in press.

5. [5] Z. A. Ameen, A note On some form of continuity, submitted.

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