Between Soft Complete Continuity and Soft Somewhat-Continuity

This paper introduces two novel concepts of mappings over soft topological spaces: “soft somewhat-r-continuity” and “soft somewhat-r-openness”. We provide characterizations and discuss soft composition and soft subspaces. With the use of examples, we offer numerous connections between these two noti...

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Bibliographic Details
Published inSymmetry (Basel) Vol. 15; no. 11; p. 2056
Main Authors Ghour, Samer Al, Al-Mufarrij, Jawaher
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.11.2023
Subjects
Continuity (mathematics)
Game theory
generated soft topologies
Set theory
soft somewhat-continuity
soft somewhat-openness
somewhat-continuity
somewhat-r-continuity
Subspaces
Theorems
Topology
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Summary:This paper introduces two novel concepts of mappings over soft topological spaces: “soft somewhat-r-continuity” and “soft somewhat-r-openness”. We provide characterizations and discuss soft composition and soft subspaces. With the use of examples, we offer numerous connections between these two notions and their accompanying concepts. We also offer extension theorems for them. Finally, we investigated a symmetry between our new concepts with their topological analogs.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym15112056