Lacunary statistical soft convergence in soft topology

Abstract Statistical convergence and some related types of convergence are a generalisation of topological convergence. Similarly, soft set theory, introduced by Molodtsov to deal with uncertainty in various scientific fields, is a generalisation of the classical concept of sets. Although both concepts have found extensive applications to various mathematical structures, the investigation of statistical convergence within soft topological spaces has not yet been undertaken. This study examines the lacunary statistical convergence of sequences of soft points in soft topological spaces, employing a density defined by an unbounded modulus function. Basic results and inclusion theorems concerning this convergence are presented.