Ward Continuity in Topological Vector Spaces


ŞİMŞEK Y., Cakalli H.

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, vol.44, no.5, 2026 (ESCI, Scopus)

Abstract

In this paper, we investigate the concepts of quasi-Cauchyness of sequences and ward continuity of functions in topological vector spaces. We prove that totally boundedness is equivalent to ward compactness and ward continuity on a totally bounded subset E of topological vector space X coincides with uniform continuity. We also prove some other interesting theorems.