On IτK-convergence of nets in locally solid Riesz spaces

Abstract

In this short note we continue our investigationof nets in locally solid Riesz spaces from [P. Das, E. Savas, {On$\mathcal{I}$-convergence of nets in locally solid Riesz spaces}, Filomat,27 (1) (2013), 84–89] and introduce the idea of ${\mathcal{I}}_{\tau }^{\mathcal{K}}$-convergence of nets which is more general than${\mathcal{I}}_{\tau }^{\mathcal{\ast }}$-convergence and obtain some of its basic properties.