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A Note on Extended Z -Contraction

Author

Listed:
  • Maryam A. Alghamdi

    (Department of Mathematics, College of Science, University of Jeddah, Jeddah 21589, Saudi Arabia)

  • Selma Gulyaz-Ozyurt

    (Department of Mathematics, Sivas Cumhuriyet University, 58140 Sivas, Turkey)

  • Erdal Karapınar

    (Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan)

Abstract

In this article, we aim to evaluate and merge the as-scattered-as-possible results in fixed point theory from a general framework. In particular, we considered a common fixed point theorem via extended Z -contraction with respect to ψ -simulation function over an auxiliary function ξ in the setting of b -metric space. We investigated both the existence and uniqueness of common fixed points of such mappings. We used an example to illustrate the main result observed. Our main results cover several existing results in the corresponding literature.

Suggested Citation

  • Maryam A. Alghamdi & Selma Gulyaz-Ozyurt & Erdal Karapınar, 2020. "A Note on Extended Z -Contraction," Mathematics, MDPI, vol. 8(2), pages 1-14, February.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:2:p:195-:d:316590
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    References listed on IDEAS

    as
    1. Hamed H. Alsulami & Erdal Karapınar & Farshid Khojasteh & Antonio-Francisco Roldán-López-de-Hierro, 2014. "A Proposal to the Study of Contractions in Quasi-Metric Spaces," Discrete Dynamics in Nature and Society, Hindawi, vol. 2014, pages 1-10, August.
    Full references (including those not matched with items on IDEAS)

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