International Journal of Neutrosophic Science
IJNS
2690-6805
2692-6148
10.54216/IJNS
https://www.americaspg.com/journals/show/3419
2020
2020
SoftWeak θ-Continuity and Preservations of Soft Hyperconnectedness and Soft Near Compactness
Department of Mathematics, Women Section, King Saud University, Riyadh 12372, Saudi Arabia
admin
admin
Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid 22110, Jordan
Samer Al
Al-Ghour
In this paper, we introduce a new weak form of soft continuity called soft weak θ-continuity in soft topological spaces and investigate the relationships between soft weak θ-continuity and θ-continuity (resp. soft weak continuity and soft δ-continuity). We obtain several characterizations of soft weak θ-continuity. Also, we give sufficient conditions for the equivalence between soft weak θ-continuity and soft θ-continuity (resp. soft δ-continuity). Moreover, we investigate the link between soft weak θ-continuity and weak θ-continuity in classical topology. Furthermore, via soft weak θ-continuity, we obtain preservation theorems of soft hyperconnectedness and soft near compactness. Finally, we obtain soft restriction, soft product, and soft graph theorems of soft weak θ-continuity.
2025
2025
26
41
10.54216/IJNS.250404
https://www.americaspg.com/articleinfo/21/show/3419