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Certain Applications of Fixed Point Results in the Setting of Tricomplex Partial Metric Space

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  • Rajagopalan Ramaswamy
  • Gunaseelan Mani

Abstract

In this paper, we introduce the notion of tricomplex partial metric space as an extension/generalization of the partial metric spaces and prove some common fixed point theorems. Our results extend and generalize some well-known results. We have also presented nontrivial examples to the derived results. We also explore the applicability of the results to establish the existence of a unique common solution to the system of nonlinear Fredholm integral equations and fractional differential equations.

Suggested Citation

  • Rajagopalan Ramaswamy & Gunaseelan Mani, 2025. "Certain Applications of Fixed Point Results in the Setting of Tricomplex Partial Metric Space," Journal of Applied Mathematics, Hindawi, vol. 2025, pages 1-16, September.
    • Handle: RePEc:hin:jnljam:2299796
    DOI: 10.1155/jama/2299796
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