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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
  • Francisco J. Garcia Pacheco

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 & Francisco J. Garcia Pacheco, 2022. "C∗-Algebra-Valued Extended Rectangular Hb-Metric Spaces and Presić-Type Fixed Point Theorem with an Application," Journal of Mathematics, Hindawi, vol. 2022, pages 1-12, May.
    • Handle: RePEc:hin:jjmath:7347385
    DOI: 10.1155/2022/7347385
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