Ward Continuity in Topological Vector Spaces
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, cilt.44, sa.5, 2026 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 44 Sayı: 5
- Basım Tarihi: 2026
- Doi Numarası: 10.5269/bspm.81376
- Dergi Adı: BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH
- İstanbul Üniversitesi Adresli: Hayır
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.