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Generalization Contractive Mappings on Rectangular b‐Metric Space

Author

Listed:
  • Jayshree Patil
  • Basel Hardan
  • Ahmed A. Hamoud
  • Amol Bachhav
  • Homan Emadifar
  • Hatira Günerhan

Abstract

In this paper, we introduce new coincidence fixed point theorems for generalized (ϕ, ψ)‐contractive mappings fulfilling kind of an admissibility provision in a Hausdorff b‐rectangular metric space with the support of C‐functions. We applied our results to establish the existence of a solution for some integralitions. Finally, an example is presented to clarify our theorem.

Suggested Citation

  • Jayshree Patil & Basel Hardan & Ahmed A. Hamoud & Amol Bachhav & Homan Emadifar & Hatira Günerhan, 2022. "Generalization Contractive Mappings on Rectangular b‐Metric Space," Advances in Mathematical Physics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jnlamp:v:2022:y:2022:i:1:n:7291001
    DOI: 10.1155/2022/7291001
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    References listed on IDEAS

    as
    1. William Kirk & Naseer Shahzad, 2014. "Fixed Point Theory in Distance Spaces," Springer Books, Springer, edition 127, number 978-3-319-10927-5, October.
    2. M. A. Kutbi & Jamshaid Ahmad & Nawab Hussain & Muhammad Arshad, 2013. "Common Fixed Point Results for Mappings with Rational Expressions," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-11, June.
    3. Muhammad Arshad & Jamshaid Ahmad & Erdal Karapınar, 2013. "Some Common Fixed Point Results in Rectangular Metric Spaces," International Journal of Analysis, Hindawi, vol. 2013, pages 1-7, March.
    4. Saleh A. Al-Mezel & Hamed H. Alsulami & Erdal Karapınar & Antonio-Francisco Roldán López-de-Hierro, 2014. "Discussion on “Multidimensional Coincidence Points” via Recent Publications," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-13, May.
    5. M. A. Kutbi & Jamshaid Ahmad & Nawab Hussain & Muhammad Arshad, 2013. "Common Fixed Point Results for Mappings with Rational Expressions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    6. Saleh A. Al-Mezel & Hamed H. Alsulami & Erdal Karapınar & Antonio-Francisco Roldán López-de-Hierro, 2014. "Discussion on “Multidimensional Coincidence Points” via Recent Publications," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    Full references (including those not matched with items on IDEAS)

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