A new type of g\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathfrak {g}$$\end{document}-neutrosophic metric spaces with order nA new type of g\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathfrak {g}$$\end{document}-neutrosophic metric spaces...V. A. Khan et al.

被引：0

作者：

Vakeel A. Khan ^{[1
]}

Mohd Kamran ^{[1
]}

Mohammad Arshad ^{[1
]}

Ayhan Esi ^{[2
]}

机构：

[1] Aligarh Muslim University,Department of Mathematics

[2] Malatya Turgut Ozal University,Faculty of Engineering, Department of Basic Engineering Sciences

来源：

Afrika Matematika | 2025年 / 36卷 / 3期

关键词：

t-norm; t-conorm; Statistical convergence; G-Metric space; g-metric space; Neutrosophic metric spaces; -Neutrosophic metric spaces; 40A05; 40A35; 46A45;

D O I：

10.1007/s13370-025-01328-3

中图分类号：

学科分类号：

摘要：

In this paper, we define the concept of the g\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathfrak {g}$$\end{document}-neutrosophic metric spaces of order n as a generalization of neutrosophic metric space. We described some properties of this novel space and construct examples based on it, then we propose the concept of statistical convergence. Also, we define the statistical convergence and statistical Cauchy sequences in g\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathfrak {g}$$\end{document}-neutrosophic metric spaces. Lastly, we offer an example to demonstrate our theorem.

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