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Best Proximity Point Results via ð ’µ-Contractive Mappings in Non-Archimedean Intuitionistic Fuzzy Metric Spaces

Author

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  • Vakeel A. Khan
  • Mohd Kamran
  • Bipan Hazarika

Abstract

In this paper, we introduce a new class of intuitionistic fuzzy contractive (IFC) mappings, termed Z-contractive mappings, and establish fixed point results in M-complete intuitionistic fuzzy metric spaces (IFMSs). We further define intuitionistic fuzzy (IF) Z-proximal contractions to obtain best proximity points for non-self mappings between two subsets of non-Archimedean IFMSs. Several related theorems are presented and supported by illustrative examples. Moreover, an application is provided to demonstrate the existence and uniqueness of solutions for a nonlinear boundary value problem, highlighting the significance of the obtained results.

Suggested Citation

  • Vakeel A. Khan & Mohd Kamran & Bipan Hazarika, 2026. "Best Proximity Point Results via ð ’µ-Contractive Mappings in Non-Archimedean Intuitionistic Fuzzy Metric Spaces," Journal of Mathematics, Hindawi, vol. 2026, pages 1-25, January.
    • Handle: RePEc:hin:jjmath:8398580
    DOI: 10.1155/jom/8398580
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