New Insights into Fixed Points Results in Neutrosophic Metric Like-Spaces and Their Applications

  • M. Pandiselvi Research Scholar, PG and Research Department of Mathematics, Raja Doraisingam Govt. Arts College, Sivagangai, Affiliated to Alagappa University, Karaikudi, Tamil Nadu, India.. https://orcid.org/0000-0003-0210-8843
  • Dr. M. Jeyaraman Alagappa University
DOI: https://doi.org/10.19139/soic-2310-5070-2937
Keywords: G-Cauchy sequence, Contractive mappings, Neutrosophic metric-like space, Fixed point,, Integral equation

Abstract

This paper introduces and develops the concept of neutrosophic metric-like spaces, extending both intuitionistic fuzzy metric spaces and traditional metric-like spaces. These spaces offer a more comprehensive framework for exploring mathematical structures and their properties. Key topics such as sequence convergence, G-Cauchy sequences, contractive mappings, and fixed-point theorems are examined within this context. To demonstrate the practical significance and utility of the proposed framework, illustrative examples and a discussion of potential applications are provided.

Author Biography

M. Pandiselvi, Research Scholar, PG and Research Department of Mathematics, Raja Doraisingam Govt. Arts College, Sivagangai, Affiliated to Alagappa University, Karaikudi, Tamil Nadu, India..
Dear Professor,                Greetings, I am Dr. M. Jeyaraman from Tamilnadu, India, working on Topology and Functional analysis. One of my research scholar M. Pandiselvi presented a paper entitled “New Insights into Fixed Points Results in Neutrosophic Metric Like-Spaces and Their Applications” at ICAM2025 and we have completed review revisions. As instructed by Dr. Anbazhagan, I am submitting it through the submission system.             I confirm that the manuscript is original and not under revision elsewhere. I would be grateful if you consider our manuscript for acceptance in your esteemed journal. I am looking forward for your positive response. Thank you for your time and consideration.                                                                                                                           Yours sincerely, Jeyaraman.        
Published
2025-10-21
How to Cite
M. Pandiselvi, & Dr. M. Jeyaraman. (2025). New Insights into Fixed Points Results in Neutrosophic Metric Like-Spaces and Their Applications. Statistics, Optimization & Information Computing. https://doi.org/10.19139/soic-2310-5070-2937
Issue
Online First
Section
Research Articles
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