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Common Fixed Point under Nonlinear Contractions on Quasi Metric Spaces

Author

Listed:
  • Wasfi Shatanawi

    (Department of Mathematics and General Sciences, Prince Sultan University, Riyadh 11942, Saudi Arabia
    Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan)

  • Kamaleldin Abodayeh

    (Department of Mathematics and General Sciences, Prince Sultan University, Riyadh 11942, Saudi Arabia)

Abstract

We introduce in this article the notion of ( ψ , ϕ ) - quasi contraction for a pair of functions on a quasi-metric space. We also investigate the existence and uniqueness of the fixed point for a couple functions under that contraction.

Suggested Citation

  • Wasfi Shatanawi & Kamaleldin Abodayeh, 2019. "Common Fixed Point under Nonlinear Contractions on Quasi Metric Spaces," Mathematics, MDPI, vol. 7(5), pages 1-9, May.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:5:p:453-:d:232818
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