Abstract
Various soft topologies are being introduced on a given function space soft topological spaces. In this paper, soft compact-open topology is defined in functional spaces of soft topological spaces. Further, these functional spaces are studied and interrelations between various functional spaces with soft compact-open topology are established.
Highlights
Many practical problems in economics, engineering, environment, social science, medical science, and so forth cannot be dealt with by classical methods, because classical methods have inherent difficulties
Shabir and Naz [11] initiated the study of soft topological spaces
First soft compact set on soft topological spaces is defined and the properties of this soft compact set are investigated
Summary
Many practical problems in economics, engineering, environment, social science, medical science, and so forth cannot be dealt with by classical methods, because classical methods have inherent difficulties The reason for these difficulties may be due to the inadequacy of the theories of parameterization tools. Molodtsov [1] initiated the concept of soft set theory as a new mathematical tool for dealing with uncertainties. Qiu-Mei et al [8] defined soft modules and investigated their basic properties. Gunduz (Aras) and Bayramov [9, 10] introduced fuzzy soft modules and intuitionistic fuzzy soft modules and investigated some basic properties. Shabir and Naz [11] initiated the study of soft topological spaces. First soft compact set on soft topological spaces is defined and the properties of this soft compact set are investigated. Soft compact-open topology of soft topological spaces is defined on soft mapping space
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