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On G continuity in neutrosophic soft spaces
  • Ahu Acikgoz,
  • Huseyin Cakalli,
  • Ferhat Esenbel
Ahu Acikgoz
Balikesir University

Corresponding Author:ahuacikgoz@gmail.com

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Huseyin Cakalli
Maltepe Universitesi
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Ferhat Esenbel
Balikesir University
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Abstract

In this paper, we introduce the concept of neutrosophic $G$-sequential continuity as a new tool to further studies presenting the definitions of neutrosophic soft sequence, neutrosophic soft quasi-coincidence, neutrosophic soft $q$-neighborhood, neutrosophic soft cluster point, neutrosophic soft boundary point, neutrosophic soft sequential closure, neutrosophic soft group, neutrosophic soft method, which constitute a base to define the concepts of neutrosophic soft $G$-sequential closure, neutrosophic soft $G$-sequential derived set, $G$-sequentially neutrosophic soft compactness of a subset of a neutrosophic soft topological space. Their characters are analyzed and some implications are given. A counterexample to each implication is also given.