A COMMON FIXED POINT THEOREM IN AN M*-METRIC SPACE AND AN APPLICATION

Authors

  • Gharib M. Gharib Department of Mathematics, Faculty of Science Zarqa University
  • Abed Al-Rahman M. Malkawi Department of Mathematics, Faculty of Science The University of Jordan
  • Ayat M. Rabaiah Department of Mathematics, Faculty of Science The University of Jordan
  • Wasfi A. Shatanawi Department of General Sciences Prince Sultan University
  • Maha S. Alsauodi epartment of Mathematics, Faculty of Science The University of Jordan

Abstract

In this paper, we introduce the concept of M*-metric spaces and how much the M*-metric and the b-metric spaces are related. Moreover, we introduce some ways of generating M*-metric spaces. Also, we investigate some types of convergence associated with M*-metric spaces. Some common fixed point for contraction and generalized contraction mappings in M*-metric spaces. Our work has been supported by many examples and an application.

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Published

2022-05-26

Issue

Volume 27, Number 2, June 2022

Section

Articles