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Fixed Point Results for Geraghty Type Contraction Mapping in Neutrosophic b‐Metric Spaces

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  • M. Pandiselvi
  • M. Jeyaraman
  • Rahul Shukla

Abstract

In this article, we introduce the C‐triangular property and develop a new class of Geraghty‐type contractions within the framework of neutrosophic b‐metric spaces. These tools allow us to derive several new fixed point theorems that not only generalize the classical results but also provide a unified approach to various existing contraction principles. To support our theoretical findings, we construct illustrative examples that highlight the advantages of the proposed approach. Finally, we demonstrate the applicability of our results by establishing the existence of solutions to a class of nonlinear integral equations. MSC2020 Classification: 47H10, 45D05, 54H25

Suggested Citation

  • M. Pandiselvi & M. Jeyaraman & Rahul Shukla, 2025. "Fixed Point Results for Geraghty Type Contraction Mapping in Neutrosophic b‐Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2025(1).
    • Handle: RePEc:wly:jnlaaa:v:2025:y:2025:i:1:n:7942325
    DOI: 10.1155/aaa/7942325
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    References listed on IDEAS

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    1. Moirangthem Pradeep Singh & Yumnam Rohen & Naeem Saleem & Khairul Habib Alam & Kumam Anthony Singh & Asima Razzaque, 2023. "On Fixed-Point Equations Involving Geraghty-Type Contractions with Solution to Integral Equation," Mathematics, MDPI, vol. 11(24), pages 1-18, December.
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