Somewhat omega continuity and somewhat omega openness in soft topological spaces

• Published in: Journal of intelligent & fuzzy systems Vol. 44; no. 1; pp. 1385 - 1396
• Main Author: Al Ghour, Samer
• Format: Journal Article
• Language: English
• Published: Amsterdam IOS Press BV 01.01.2023
• Subjects: Mapping; Topology
• ISSN: 1064-1246; 1875-8967
• DOI: 10.3233/JIFS-222098

In this paper, we introduce soft somewhat ω-continuous soft mappings and soft somewhat ω-open soft mappings as two new classes of soft mappings. We characterize these two concepts. Also, we prove that the class of soft somewhat ω-continuous (resp. soft somewhat ω-open) soft mappings contains the class of soft somewhat continuous (resp. soft somewhat open) soft mappings. Moreover, we obtain some sufficient conditions for the composition of two soft somewhat ω-continuous (resp. soft somewhat ω-open) soft mappings to be a soft somewhat ω-continuous (resp. a soft somewhat ω-open) soft mapping. Furthermore, we introduce some sufficient conditions for restricting a soft somewhat ω-continuous (resp. soft somewhat ω-open) soft mapping to being a soft somewhat ω-continuous (resp. soft somewhat ω-open) soft mapping. In addition to these, we introduce extension theorems regarding soft somewhat ω-continuity and soft somewhat ω-openness. Finally, we investigate the correspondences between the novel notions in soft topology and their general topological analogs.