G-Sequential Convergences in Submethods
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.81453
- Dergi Adı: Boletim da Sociedade Paranaense de Matematica
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH
- Anahtar Kelimeler: G-convergence, G-submethod, Gs-sequential convergence, GV-closed subset
- Erciyes Üniversitesi Adresli: Evet
Özet
In a topological space X, limits of sequences give us a set valued function defined for convergent sequences and taking subsets of X as values. Then sequential versions of some topological notions are generalised to G-methods by replacing lim function with any map G. A G-method enables us to define a variety of convergent method Gs called G-sequentially convergence and gives rise to a method GY on a subset Y⊆ X called submethod. In this paper, we consider G-sequentially methods or Gs-methods created by G-methods and search the reducibility of such methods to subsets with some properties and characterisations.