Analytical Study of Convergence Filters in Topological Vector Spaces via Proximit Structure

Abstract

This paper is investigates the concept of convergence in Di-proximit
topological vector space and examines several results in this new context. We
introduce the notions of the terms cluster point, Di-Cauchy filter, Diconvergent filter, Di-complete in Di-proximit topological vector space and the
relationship between Di-Cauchy filter and Di-convergent filter in Di-proximit
topological vector space.