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C ∗‐Algebra‐Valued Extended Rectangular Hb‐Metric Spaces and Presić‐Type Fixed Point Theorem with an Application

Author

Listed:
  • Madjid Kohi
  • Hasan Hosseinzadeh
  • Rasoul Abazari
  • Ali Bagheri
  • Vahid Parvaneh

Abstract

In this article, we introduce the concept of C ∗‐algebra‐valued extended rectangular Hb‐metric spaces and use it to prove the Banach contraction principle (BCP). Also, we extend this concept to Presić type contractions and use a method to shorten the proof. We also take an application to show the usefulness of our main result.

Suggested Citation

  • Madjid Kohi & Hasan Hosseinzadeh & Rasoul Abazari & Ali Bagheri & Vahid Parvaneh, 2022. "C ∗‐Algebra‐Valued Extended Rectangular Hb‐Metric Spaces and Presić‐Type Fixed Point Theorem with an Application," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jjmath:v:2022:y:2022:i:1:n:7347385
    DOI: 10.1155/2022/7347385
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    References listed on IDEAS

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    1. Hassen Aydi & Dušan Rakić & Asadolah Aghajani & Tatjana Došenović & Mohd Salmi Md Noorani & Haitham Qawaqneh, 2019. "On Fixed Point Results in G b -Metric Spaces," Mathematics, MDPI, vol. 7(7), pages 1-19, July.
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