Soft ω-Weak Continuity between Soft Topological Spaces

We define soft ω-weak continuity as a new soft continuity notion, which is strictly weaker than the soft ω-continuity and soft weak continuity.We present two characterizations and two composition theorems for the soft ω-weak continuity.Moreover, via soft ω-weak continuity, we give several preservation theorems related to soft connectedness and soft separation axioms.Additionally, we introduce w * -ω-continuous functions as a new class of soft functions strictly containing a class of soft ω-continuous functions.We show that soft ω-weak continuity and soft w * -ω-continuities are independent notions, and use them to obtain a decomposition theorem for the soft ω-continuity.Finally, we study the relationships between our new soft notions and their analogs in general topology.