Article detail · 2020
A quest of G‐continuity in neutrosophic spaces
Journal
Mathematical Methods in the Applied Sciences- Year
- 2020
- DOI
- 10.1002/mma.7113
- Type
- article
Data source split
- YÖKSİS venue Mathematical Methods in the Applied Sciences
- OpenAlex OpenAlex enrichment (abstract, citations, topics)
Abstract
OpenAlex · English
Continuity, in particular sequential continuity, is an important subject of investigation not only in topology but also in some other branches of mathematics. Connor and Grosse‐Erdmann remodelled its definition for real functions by replacing lim with an arbitrary linear functional G defined on a linear subspace of the vector space of all real sequences. Then, this definition was extended to a topological group X by replacing a linear functional G with an arbitrary additive function defined on a subgroup of the group of all X‐valued sequences. Also, some new theorems in generalized setting were given, and some other theorems that had not been obtained for real functions were presented. In this study, we introduce neutrosophic G‐continuity and investigate its properties in neutrosophic topological spaces.
Topics
Citations
OpenAlex cited_by_count. Not a WoS or Scopus citation count; those sources have no separate column here.
27 citations
OpenAlex cited_by_count (cache / database)
13 publications in the local catalog that cite this work (OpenAlex reference match; not the full global list).
- NEUTROSOPHICATION β-COMPACTNESS 2024
- Neutrosophic Seperation Axioms 2023
- Neutrosophic Soft Semi-Regularization and Neutrosophic Soft Sub-Maximality 2022
- N-Methods 2025
- ON A WEAK FORM OF SEMI-OPEN FUNCTION BY NEUTROSOPHICATION 2024
- Quasi Cauchy sequences in topological vector spaces 2025
- THE NEUTROSOPHIZE OF NEW CONTINUITY SPECIES 2024
- Neutrosophic Strongly Preopen Sets and Neutrosophic Strong Precontinuity 2024
- Neutrosophic compactness via summability and sequential definitions of connectedness in neutrosophic spaces 2023
- Ward Continuity in Topological Vector Spaces 2026