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Fixed Point Results for Perov–Ćirić–Prešić-Type Θ-Contractions with Applications

Author

Listed:
  • Jamshaid Ahmad

    (Department of Mathematics, University of Jeddah, P.O. Box 80327, Jeddah 21589, Saudi Arabia)

  • Saleh Abdullah Al-Mezel

    (Department of Mathematics, University of Jeddah, P.O. Box 80327, Jeddah 21589, Saudi Arabia
    Industrial Area, Majmaah University, Al Majma’ah 15341, Saudi Arabia)

  • Ravi P. Agarwal

    (Department of Mathematics, Texas A&M University-Kingsville, 700 University Blvd., Kingsville, TX 78363-8202, USA)

Abstract

The aim of this paper is to introduce the notion of Perov–Ćirić–Prešić-type Θ -contractions and to obtain some generalized fixed point theorems in the setting of vector-valued metric spaces. We derive some fixed point results as consequences of our main results. A nontrivial example is also provided to support the validity of our established results. As an application, we investigate the solution of a semilinear operator system in Banach space.

Suggested Citation

  • Jamshaid Ahmad & Saleh Abdullah Al-Mezel & Ravi P. Agarwal, 2022. "Fixed Point Results for Perov–Ćirić–Prešić-Type Θ-Contractions with Applications," Mathematics, MDPI, vol. 10(12), pages 1-11, June.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:12:p:2062-:d:839000
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    References listed on IDEAS

    as
    1. Marija Cvetković & Vladimir Rakočević, 2015. "Common fixed point results for mappings of Perov type," Mathematische Nachrichten, Wiley Blackwell, vol. 288(16), pages 1873-1890, November.
    2. Ishak Altun & Nawab Hussain & Muhammad Qasim & Hamed H. Al-Sulami, 2019. "A New Fixed Point Result of Perov Type and Its Application to a Semilinear Operator System," Mathematics, MDPI, vol. 7(11), pages 1-10, October.
    Full references (including those not matched with items on IDEAS)

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