Three Weaker Forms of Soft Faint Continuity

Autor:	Samer Al-Ghour, Dina Abuzaid
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	soft semi-openness soft pre-openness soft β-openness soft faint continuity generated soft topology Mathematics QA1-939
Zdroj:	Symmetry, Vol 16, Iss 9, p 1211 (2024)
Druh dokumentu:	article
ISSN:	2073-8994
DOI:	10.3390/sym16091211
Popis:	The authors of this paper introduce and discuss three weaker forms of soft faint continuity: soft faint semi-continuity, soft faint pre-continuity, and soft faint β-continuity. They characterize each of them in several ways. They also demonstrate how they are preserved under some restrictions. Moreover, they prove that a soft function is also soft faint semi-continuous (resp. soft faint pre-continuous, soft faint β-continuous) if its soft graph function is also soft faint semi-continuous (resp. soft faint pre-continuous, soft faint β-continuous). Moreover, they show that a soft function is soft faint semi-continuous (resp. soft faint pre-continuous, soft faint β-continuous) iff it is soft semi-continuous provided that it has a soft regular codomain. Finally, the symmetry between our new ideas and their analogous topological ones is investigated.
Databáze:	Directory of Open Access Journals
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