Some characterizations of soft continuous mappings using soft graphs

Abstract

The aim of this study is to contribute to the theoretical studies on soft closed graphs and soft continuous mappings. We give a characterization of soft continuity using soft points and obtain a sufficient condition for the soft equalizer to be soft closed. We also present the notion of a soft filter generated by the soft net and vice-versa and prove their convergence results correspond to each other. Further, we prove that with a soft Hausdorff and soft compact co-domain of soft mapping, soft continuity is equivalent to soft mapping having a soft closed graph.