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

Authors

  • 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 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-2310-5070-2937

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.

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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, 15(6), 5135–5147. https://doi.org/10.19139/soic-2310-5070-2937

Issue

Vol. 15 No. 6 (2026)

Section

Research Articles

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