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

Soft omega-theta-continuity and soft weak-theta(omega)-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 omega-theta-continuity lies strictly between soft theta-continuity and soft weak-continuity, while soft weak-theta omega-continuity lies strictly between soft continuity (i.e., soft theta(omega)-continuity) and soft weak-continuity. A number of conditions for the equivalence between soft omega-theta-continuity and soft weak continuity (i.e., soft omega-theta-continuity and soft theta-continuity, soft weak-theta(omega)-continuity and soft weak-continuity, soft weak-theta(omega)-continuity and soft continuity) are obtained. Additionally, soft theta-closure and soft theta(omega)-closure operators are used to characterize our new types of soft mappings.

Automated summary

Soft omega-theta-continuity and soft weak-theta(omega)-continuity are introduced and investigated as two new concepts of continuity. The links between these forms of soft mappings and their general topological relatives are explored. Examples are used to show that soft omega-theta-continuity lies between soft theta-continuity and soft weak-continuity, while soft weak-theta omega-continuity lies between soft continuity (i.e., soft theta(omega)-continuity) and soft weak-continuity.