Statistical convergence of nets on locally solid Riesz spaces

Abstract

The statistical convergence is handled for sequences with the natural density, in general. In a recent paper, the statistical convergence for nets has been studied and investigated by developing topology-free techniques in Riesz spaces. In this paper, we introduce the statistically topological convergence for nets on locally solid Riesz spaces with solid topologies. Moreover, we give the notion of statistical continuity on locally solid Riesz spaces. © 2021, The Author(s), under exclusive licence to The Forum D’Analystes.