Soft ω-Continuity and Soft ω<SUB>s</SUB>-Continuity in Soft Topological Spaces
2022; Volume: 22; Issue: 2 Linguagem: Inglês
10.5391/ijfis.2022.22.2.183
ISSN2093-744X
Autores Tópico(s)Fixed Point Theorems Analysis
ResumoIn this study, soft ω-continuity and soft ω s -continuity are introduced as two new classes of soft functions, and several characterizations of these concepts are given.It is proven that soft ω-continuity is weaker than soft continuity and that soft ω s -continuity lies strictly between soft ω-continuity and soft semi-continuity.Sufficient conditions are introduced for the equivalence between soft ω s -continuity and soft ω-continuity, as well as that between soft ω s -continuity and soft semi-continuity.Furthermore, composition theorems regarding soft ω-continuity and soft ω s -continuity are given.Finally, the relationships between the generated soft topological spaces and induced topological spaces are studied.
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