On Fixed Points of Tirado-Type Contractions in k-Neutrosophic Metric Spaces

  • N. Muthulakshmi Research Scholar, P.G. and Research Department of Mathematics, Raja Doraisingam Govt. Arts College, Sivagangai, Affiliated to Alagappa University, Karaikudi, Tamilnadu, India https://orcid.org/0009-0003-3970-0987
  • J. Johnsy Research Scholar, P.G. and Research Department of Mathematics, Raja Doraisingam Govt. Arts College, Sivagangai, Affiliated to Alagappa University, Karaikudi, Tamilnadu, India https://orcid.org/0009-0007-7790-0321
  • 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-2310-5070-2943
Keywords: Fuzzy Metric Spaces, k-Neutrosophic Metric Spaces, k-Neutrosophic Tirado-type contractive mapping, Fixed Point

Abstract

The notion of a generalized k-Neutrosophic Metric Spaces and its inherent characteristics are presented in this study. A new class of contraction mappings, termed Tirado-type k-neutrosophic contraction mappings, is defined, extending classical contraction principles to this novel framework. A fixed-point theorem is established under the G-completeness condition, and an illustrative example demonstrates the generalized naturalness of k-neutrosophic metric spaces. These findings bridge this gap, unifying and extending fixed-point theories in more generalized settings.

Author Biographies

N. Muthulakshmi, Research Scholar, P.G. and Research Department of Mathematics, Raja Doraisingam Govt. Arts College, Sivagangai, Affiliated to Alagappa University, Karaikudi, Tamilnadu, India
Research Scholar, P.G. and Research Department of Mathematics, Raja Doraisingam Govt. Arts College, Sivagangai,Affiliated to Alagappa University, Karaikudi, Tamilnadu, India.
J. Johnsy, Research Scholar, P.G. and Research Department of Mathematics, Raja Doraisingam Govt. Arts College, Sivagangai, Affiliated to Alagappa University, Karaikudi, Tamilnadu, India
Research Scholar, P.G. and Research Department of Mathematics, Raja Doraisingam Govt. Arts College, Sivagangai,Affiliated to Alagappa University, Karaikudi, Tamilnadu, India.
Published
2025-10-15
How to Cite
N. Muthulakshmi, J. Johnsy, & Dr. M. Jeyaraman. (2025). On Fixed Points of Tirado-Type Contractions in k-Neutrosophic Metric Spaces. Statistics, Optimization & Information Computing, 15(3), 1964-1975. https://doi.org/10.19139/soic-2310-5070-2943
Issue
Vol 15 No 3 (2026)
Section
Research Articles
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