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New Common Fixed Point Results in Ultrametric Spaces Utilizing Various Contractions and Their Applications to Integral Equations

Author

Listed:
  • N. Uthirasamy
  • Balaanandhan Radhakrishnan
  • Kandhasamy Tamilvanan
  • Uma Jayaraman
  • Masho Jima Kabeto

Abstract

This study explores fixed points and common fixed points for self‐mappings on ultrametric spaces, regardless of the assumption of spherical completeness. By presenting generalized contractive conditions based on the p‐adic contraction, we extend classical fixed point results and illustrate their practical use through meticulously crafted examples. We also found some common fixed point solutions to several integral equations, which show how useful our theoretical insights are in real life. The findings advance the evolution of fixed point theory in non‐Archimedean contexts and provide novel insights that augment and expand established theorems in ultrametric analysis.

Suggested Citation

  • N. Uthirasamy & Balaanandhan Radhakrishnan & Kandhasamy Tamilvanan & Uma Jayaraman & Masho Jima Kabeto, 2025. "New Common Fixed Point Results in Ultrametric Spaces Utilizing Various Contractions and Their Applications to Integral Equations," Journal of Mathematics, John Wiley & Sons, vol. 2025(1).
    • Handle: RePEc:wly:jjmath:v:2025:y:2025:i:1:n:5272058
    DOI: 10.1155/jom/5272058
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    References listed on IDEAS

    as
    1. Yahya Almalki & Balaanandhan Radhakrishnan & Uma Jayaraman & Kandhasamy Tamilvanan, 2023. "Some Common Fixed Point Results in Modular Ultrametric Space Using Various Contractions and Their Application to Well-Posedness," Mathematics, MDPI, vol. 11(19), pages 1-18, September.
    2. Balaanandhan Radhakrishnan & Uma Jayaraman & Shreefa O. Hilali & M. Kameswari & Mohammed Alhagyan & Kandhasamy Tamilvanan & Ameni Gargouri & Ömer Kişi, 2024. "Coincidence Point Results for Self-Mapping With Extended Rational Contraction in Partially Ordered Ultrametric Spaces Using p-Adic Distance," Journal of Mathematics, Hindawi, vol. 2024, pages 1-14, November.
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