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Fixed Point Results via Real-Valued Function Satisfying Integral Type Rational Contraction

Author

Listed:
  • Naveen Mani
  • Amit Sharma
  • Rahul Shukla
  • Jozef Banas

Abstract

In this article, we mainly discuss the existence and uniqueness of fixed point satisfying integral type contractions in complete metric spaces via rational expression using real-valued functions. We improve and unify many widely known results from the literature. Among these, the work of Rakotch (1962), Branciari (2002), and Liu et al. (2013) is extended. Finally, we conclude with an example presented graphically in favour of our work.

Suggested Citation

  • Naveen Mani & Amit Sharma & Rahul Shukla & Jozef Banas, 2023. "Fixed Point Results via Real-Valued Function Satisfying Integral Type Rational Contraction," Abstract and Applied Analysis, Hindawi, vol. 2023, pages 1-6, January.
    • Handle: RePEc:hin:jnlaaa:2592507
    DOI: 10.1155/2023/2592507
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    Cited by:

    1. Nesrin Manav Tatar & Ravi P. Agarwal, 2023. "Best Approximation of Fixed-Point Results for Branciari Contraction of Integral Type on Generalized Modular Metric Space," Mathematics, MDPI, vol. 11(21), pages 1-15, October.
    2. Sunil Beniwal & Naveen Mani & Rahul Shukla & Amit Sharma, 2024. "Fixed Point Results for Compatible Mappings in Extended Parametric S b -Metric Spaces," Mathematics, MDPI, vol. 12(10), pages 1-20, May.

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