On Soft Topological Groups and Soft Function Spaces

In this paper, the definition of a soft topological group based on the concept of soft points is introduced. Let [Formula: see text] denote the collection of all soft continuous functions between soft topological spaces [Formula: see text] and [Formula: see text]. We investigate the structures of abstract groups, and soft groups within the context of the soft function space. Furthermore, the soft topological group structure of the group [Formula: see text] under soft topologies is explored.