A New Approach to Soft Continuity

Sandeep Kaur, Tareq M. Al-shami (), Alkan Özkan and M. Hosny
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Tareq M. Al-shami: Department of Mathematics, Sana’a University, Sana’a P.O. Box 1247, Yemen
Alkan Özkan: Department of Mathematics, Faculty of Arts and Sciences, Iǧdır University, Iǧdır 18300, Turkey
M. Hosny: Department of Mathematics, Faculty of Science for Girls, King Khalid University, Abha 61471, Saudi Arabia

Mathematics, 2023, vol. 11, issue 14, 1-11

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.

Keywords: soft sets; soft point; soft topological spaces; induced soft mappings; soft continuous mappings (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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