Ward Continuity in Topological Vector Spaces
BOLETIM DA SOCIEDADE PARANAENSE DE MATEMATICA, cilt.44, ss.1-7, 2026 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 44
- Basım Tarihi: 2026
- Dergi Adı: BOLETIM DA SOCIEDADE PARANAENSE DE MATEMATICA
- Derginin Tarandığı İndeksler: Scopus, Emerging Sources Citation Index (ESCI), MathSciNet, zbMATH
- Sayfa Sayıları: ss.1-7
- Maltepe Üniversitesi Adresli: Evet
Özet
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.