Fixed Point Results in Neutrosophic n-Controlled Bipolar Metric Spaces

Authors

  • M. Rathivel Research Scholar, P.G. and Research Department of Mathematics, Raja Doraisingam Govt. Arts College, Sivagangai, Affiliated to Alagappa University, Karaikudi, Tamilnadu, India
  • C. Inbam Associate Professor, Department of Mathematics, Sri Meenakshi Govt. Arts College For Women(A), Affiliated to Madurai Kamaraj University, Madurai, Tamilnadu, India
  • 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-2310-5070-2945

Keywords:

Fixed point, Neutrosophic n-controlled bipolar Metric Space, Differential equation

Abstract

We present the idea of Neutrosophic n-Controlled Bipolar Metric space in this study. We use n-non-comparable functions to establish several fixed point results. Furthermore, we employ a version of the Banach contraction principle to extrapolate the conclusions and provide a few non-trivial examples. Subsequently, we apply the main findings to solve financial modeling problems in fractional differential equations.

Author Biographies

  • M. Rathivel, 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.
  • C. Inbam, Associate Professor, Department of Mathematics, Sri Meenakshi Govt. Arts College For Women(A), Affiliated to Madurai Kamaraj University, Madurai, Tamilnadu, India
    Associate Professor, Department of Mathematics, Sri Meenakshi Govt. Arts College For Women(A), Affiliated to Madurai Kamaraj University, Madurai, Tamilnadu, India.

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Published

2025-10-21

Issue

Vol. 15 No. 5 (2026)

Section

Research Articles

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How to Cite

Fixed Point Results in Neutrosophic n-Controlled Bipolar Metric Spaces. (2025). Statistics, Optimization & Information Computing, 15(5), 3986-3997. https://doi.org/10.19139/soic-2310-5070-2945