Nonlinear Functional Analysis and Applications

Kyungnam University, Department of Mathematics Eduaction (경남대학교 수학교육과)
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REICH-TYPE CONTRACTION ON EXTENDED METRIC SPACE OF TYPE (φ, ρ) AND SOME FIXED POINT RESULTS

  • Asma Souaiaia (Department of Mathematics, The University of Jordan) ;
  • Wasfi Shatanawi (Department of Mathematics and Sciences, Prince Sultan University, Department of Mathematics, Faculty of Science, The Hashemite University) ;
  • Abdalla Ahmad Tallafha (Department of Mathematics, The University of Jordan)
  • Received : 2022.11.18
  • Accepted : 2022.12.07
  • Published : 2023.09.15
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Abstract

In this article, we present a new notion called "extended metric spaces of type (φ, ρ)" as a generalization of extended b-metric spaces. Also, we establish a fixed point result of a Reich-type contraction on an extended metric space of type (φ, ρ). We also provide several examples to demonstrate the significance of the established results.

Keywords

References

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