Common Fixed Point of Generalized Berinde Type Contraction and an Application

Authors

  • Habes Alsamir Dar Aluloom University, riyadh, Saudi Arabia
  • Haitham Ali Qawaqneh Al-Zaytoonah University of Jordan https://orcid.org/0000-0002-5495-1763
  • Gawhara Al-Musannef
  • Roshdi Khalil Department of Mathematics, Faculty of Science The University of Jordan, Amman, 11942, Jordan

DOI:

https://doi.org/10.29020/nybg.ejpam.v17i4.5388

Keywords:

common fixed point, $b-$metric spaces.

Abstract

In this paper, we introduce  $\lambda_{(s,\varphi,\psi,L)}$-generalized Berinde type contraction and obtain some common fixed point results for such class of contractions the setting of triangular $\alpha$-admissible mappings with respect to $\eta$ in the framework of $b$-metric spaces.  Our results generalize and extend some theorems in the literature. An example is given to support our result.

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Published

2024-10-31

Issue

Section

Nonlinear Analysis

How to Cite

Common Fixed Point of Generalized Berinde Type Contraction and an Application. (2024). European Journal of Pure and Applied Mathematics, 17(4), 2492-2504. https://doi.org/10.29020/nybg.ejpam.v17i4.5388