Ward Continuity in Topological Vector Spaces
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, vol.44, no.5, 2026 (ESCI, Scopus)
- Publication Type: Article / Article
- Volume: 44 Issue: 5
- Publication Date: 2026
- Doi Number: 10.5269/bspm.81376
- Journal Name: BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA
- Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH
- Istanbul University Affiliated: No
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.