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Fixed Point Results on Δ-Symmetric Quasi-Metric Space via Simulation Function with an Application to Ulam Stability

Author

Listed:
  • Badr Alqahtani

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

  • Andreea Fulga

    (Department of Mathematics and Computer Sciences, Universitatea Transilvania Brasov, 500036 Brasov, Romania)

  • Erdal Karapınar

    (Department of Mathematics, Atilim University, 06836 Ankara, Turkey
    Department of Medical Research, China Medical University, Taichung 40402, Taiwan)

Abstract

In this paper, in the setting of Δ -symmetric quasi-metric spaces, the existence and uniqueness of a fixed point of certain operators are scrutinized carefully by using simulation functions. The most interesting side of such operators is that they do not form a contraction. As an application, in the same framework, the Ulam stability of such operators is investigated. We also propose some examples to illustrate our results.

Suggested Citation

  • Badr Alqahtani & Andreea Fulga & Erdal Karapınar, 2018. "Fixed Point Results on Δ-Symmetric Quasi-Metric Space via Simulation Function with an Application to Ulam Stability," Mathematics, MDPI, vol. 6(10), pages 1-19, October.
    • Handle: RePEc:gam:jmathe:v:6:y:2018:i:10:p:208-:d:176279
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    References listed on IDEAS

    as
    1. Saleh A. Al-Mezel & Chi-Ming Chen & Erdal Karapınar & Vladimir Rakočević, 2014. "Fixed Point Results for Various -Admissible Contractive Mappings on Metric-Like Spaces," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-15, May.
    2. Erdal Karapınar & Bessem Samet, 2012. "Generalized 𠜶 - ð Contractive Type Mappings and Related Fixed Point Theorems with Applications," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-17, September.
    Full references (including those not matched with items on IDEAS)

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    Cited by:

    1. Sintunavarat, Wutiphol & Turab, Ali, 2022. "Mathematical analysis of an extended SEIR model of COVID-19 using the ABC-fractional operator," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 198(C), pages 65-84.

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