Volume 25 , Issue 4 , PP: 26-41, 2025 | Cite this article as | XML | Html | PDF | Full Length Article
Jawaher Al-Mufarrij 1 , Samer Al-Ghour 2
Doi: https://doi.org/10.54216/IJNS.250404
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.
Soft &theta , -continuous functions , Soft weakly-continuous functions , Soft hypreconnected spaces , Soft nearly compact spaces
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