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A quest of G-continuity in neutrosophic spaces
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  • Ahu Acikgoz,
  • Huseyin Cakalli,
  • Ferhat Esenbel,
  • Ljubisa Kocinac
Ahu Acikgoz
Balikesir University
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Huseyin Cakalli
Maltepe Universitesi
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Ferhat Esenbel
Balikesir University
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Ljubisa Kocinac
University of Nis
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Abstract

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 remodeled its definition for real functions by replacing {\sf 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.

Peer review status:ACCEPTED

15 Jul 2020Submitted to Mathematical Methods in the Applied Sciences
18 Jul 2020Submission Checks Completed
18 Jul 2020Assigned to Editor
20 Jul 2020Reviewer(s) Assigned
28 Oct 2020Review(s) Completed, Editorial Evaluation Pending
30 Nov 2020Editorial Decision: Revise Minor
01 Dec 20201st Revision Received
01 Dec 2020Submission Checks Completed
01 Dec 2020Assigned to Editor
01 Dec 2020Editorial Decision: Accept