Article detail · 2014
On G-Sequential Continuity
- Year
- 2014
- Type
- article
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- YÖKSİS YÖKSİS article record
- YÖKSİS venue Filomat
- Catalog match (ISSN) Filomat
- OpenAlex OpenAlex enrichment (abstract, citations, topics)
Abstract
OpenAlex · English
Let X be a first countable Hausdorff topological group. The limit of a sequence in X defines a function denoted by lim from the set of all convergent sequences to X. This notion has been modified by Connor and Grosse-Erdmann 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. Recently ?akall? has extended the concept to the topological group setting and introduced the concepts of G-sequential compactness, G-sequential continuity and sequential connectedness. In this paper we give a further investigation of G-sequential continuity in topological groups.
Topics
Citations
OpenAlex cited_by_count. Not a WoS or Scopus citation count; those sources have no separate column here.
43 citations
OpenAlex cited_by_count (cache / database)
8 publications in the local catalog that cite this work (OpenAlex reference match; not the full global list).
- A quest of G‐continuity in neutrosophic spaces 2020
- Sequentially Hausdorff and full sequentially Hausdorff spaces 2019
- Sequentially Hausdorff and full sequentially Hausdorff spaces 2019
- N-Methods 2025
- Some generalized open sets in ideal topological spacesé 2025
- Neutrosophic compactness via summability and sequential definitions of connectedness in neutrosophic spaces 2023
- Sequential definitions of fuzzy continuity in fuzzy spaces 2019
- I-Dizisel Hausdorff Uzaylar 2019