Soft ω - θ -Continuous and Soft Weakly θ ω -Continuous Mappings

Samer Al Ghour () and Hanan Al-Saadi ()
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Samer Al Ghour: Department of Mathematics, Jordan University of Science and Technology, Irbid 22110, Jordan
Hanan Al-Saadi: Department of Mathematics, Faculty of Applied Sciences, Umm Al-Qura University, Makkah 24225, Saudi Arabia

Mathematics, 2023, vol. 11, issue 19, 1-15

Abstract: Soft ω - θ -continuity and soft weak- θ ω -continuity as two new concepts of continuity are presented and investigated. The investigation of the links between these forms of soft mappings and their general topological relatives is given. With the help of examples, it is investigated that soft ω - θ -continuity lies strictly between soft θ -continuity and soft weak-continuity, while soft weak- θ ω -continuity lies strictly between soft continuity (i.e., soft θ ω -continuity) and soft weak-continuity. A number of conditions for the equivalence between soft ω - θ -continuity and soft weak continuity (i.e., soft ω - θ -continuity and soft θ -continuity, soft weak- θ ω -continuity and soft weak-continuity, soft weak- θ ω -continuity and soft continuity) are obtained. Additionally, soft θ -closure and soft θ ω -closure operators are used to characterize our new types of soft mappings.

Keywords: ? - ? -continuity; weak- ?? -continuity; soft weak-continuity; soft ? -continuity; soft ?? -continuity (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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