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Extended Simulation Function via Rational Expressions

Author

Listed:
  • Rawan Alsubaie

    (Department of Mathematics, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia)

  • Badr Alqahtani

    (Department of Mathematics, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia)

  • Erdal Karapınar

    (Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
    Department of Mathematics, Çankaya University, 06790 Etimesgut, Ankara, Turkey)

  • Antonio Francisco Roldán López de Hierro

    (Department of Statistics and Operations Research, University of Granada, 18010 Granada, Spain)

Abstract

In this paper, we introduce some common fixed point theorems for two distinct self-mappings in the setting of metric spaces by using the notion of a simulation function introduced in 2015. The contractivity conditions have not to be verified for all pairs of points of the space because it is endowed with an antecedent conditions. They are also of rational type because the involved terms in the contractivity upper bound are expressed, in some cases, as quotients.

Suggested Citation

  • Rawan Alsubaie & Badr Alqahtani & Erdal Karapınar & Antonio Francisco Roldán López de Hierro, 2020. "Extended Simulation Function via Rational Expressions," Mathematics, MDPI, vol. 8(5), pages 1-29, May.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:5:p:710-:d:353606
    as

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