A New Approach to Soft Continuity

Author:

Kaur Sandeep1ORCID,Al-shami Tareq M.23ORCID,Özkan Alkan4ORCID,Hosny M.5ORCID

Affiliation:

1. Department of Mathematics, Akal University, Talwandi Sabo, Bathinda 151302, India

2. Department of Mathematics, Sana’a University, Sana’a P.O. Box 1247, Yemen

3. Department of Engineering Mathematics & Physics, Faculty of Engineering & Technology, Future University, New Cairo 11835, Egypt

4. Department of Mathematics, Faculty of Arts and Sciences, Iǧdır University, Iǧdır 18300, Turkey

5. Department of Mathematics, Faculty of Science for Girls, King Khalid University, Abha 61471, Saudi Arabia

Abstract

The concept of continuity in topological spaces has a very important place. For this reason, a great deal of work has been done on continuity, and many generalizations of continuity have been obtained. In this work, we seek to find a new approach to the study of soft continuity in soft topological spaces in connection with an induced mapping based on soft sets. By defining the *-image of a soft set, we define an induced soft mapping and present its related properties. To elaborate on the obtained results and relationships, we furnish a number of illustrative examples.

Funder

King Khalid University

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

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