A New Result of Statistical Convergence in Neutrosophic Generalized Metric Spaces

  • 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.
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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