A New Result of Statistical Convergence in Neutrosophic Generalized Metric Spaces

Authors

  • V. B. Shakila Research Scholar, P.G. and Research Department of Mathematics, Raja Doraisingam Government Arts College, Sivagangai. Affiliated to Alagappa University, Karaikudi, Tamilnadu, India; Department of Mathematics, Sourashtra College, Madurai, Tamilnadu, India https://orcid.org/0009-0007-6922-284X
  • Dr. M. Jeyaraman Associate Professor and Head, P. G. and Research Department of Mathematics, Raja Doraisingam Govt. Arts College, Sivagangai, Affiliated to Alagappa University, karaikudi, Tamilnadu, India

DOI:

https://doi.org/10.19139/soic-2310-5070-2942

Keywords:

G-metric space, Neutrosophic Generalized Metric Spaces, Statistically Convergent, Statistically Cauchy

Abstract

In this paper, we present the concept of G- metric space and further generalized to G-metric of nth order. We define the notion of Neutrosophic Generalized Metric Spaces (NGMS) of order n and present an example to prove this concept. Some characteristics of NGMS are also presented. Additionally we define Statistical Convergent and establish some related concepts.

Author Biography

V. B. Shakila, Research Scholar, P.G. and Research Department of Mathematics, Raja Doraisingam Government Arts College, Sivagangai. Affiliated to Alagappa University, Karaikudi, Tamilnadu, India; Department of Mathematics, Sourashtra College, Madurai, Tamilnadu, India

Research Scholar, P.G. and Research Department of Mathematics, Raja Doraisingam Government Arts College, Sivagangai. Affiliated to Alagappa University, Karaikudi, Tamilnadu, India.

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Published

2025-10-21

How to Cite

V. B. Shakila, & Dr. M. Jeyaraman. (2025). A New Result of Statistical Convergence in Neutrosophic Generalized Metric Spaces. Statistics, Optimization & Information Computing, 15(4), 2622–2637. https://doi.org/10.19139/soic-2310-5070-2942

Issue

Vol. 15 No. 4 (2026)

Section

Research Articles

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