G-convergence and G-sequential space

Year 2025, Early Access, 1 - 17

Shanza Behram , Osman Mucuk

https://doi.org/10.15672/hujms.1585422

Abstract

In this paper our main is to discuss the varieties of convergences in terms of G-method. We are going to look how well these convergences behave in different properties of G-method. For given a set with a G-method, unlike G-open subsets, we obtain a topology of G-sequentially open subsets associated with G-method.
We will define $G$-sequential space which extends the definition of sequential spaces and give some examples of G-sequential spaces associated with G-methods.

Keywords

G-method , G-convergence , G-sequential space

References

• [1] A. Açıkgöz, H. Çakallı, F. Esenbel and L.D.R. Kočinac, A quest of G-continuity in neutrosophic spaces, Mathematical Methods in the Applied Sciences 44 (9), 7834- 7844, 2021.