Between Soft Complete Continuity and Soft Somewhat-Continuity

Abstract

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.

Keywords

• somewhat-continuity
• somewhat-<i>r</i>-continuity
• soft somewhat-continuity
• soft somewhat-openness
• generated soft topologies