Convergent Gn-Methods via Nets
Boletim da 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.81454
- Dergi Adı: Boletim da Sociedade Paranaense de Matematica
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH
- Anahtar Kelimeler: Gn-convergence, Gn-methods, Nets
- Erciyes Üniversitesi Adresli: Evet
Özet
As generalisation of limit notion in topological spaces, the idea of G-method is set valued function defined on subset of some sequences in set X. Hence G-methods enable us extending sequential versions of some topological definitions such as sequential continuity, sequential compactness and sequential connectedness. In this paper we consider convergent methods defined for nets on X, rather than sequences and denote such method by Gn. Then we also give some properties and characterizations of properties involving Gn-methods.