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Fixed Point Results for Generalized ℱ-Contractions in Modular b -Metric Spaces with Applications

Author

Listed:
  • Vahid Parvaneh

    (Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran)

  • Nawab Hussain

    (Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia)

  • Maryam Khorshidi

    (Department of Mathematics, Firouzabad Institute of higher education, Firouzabad, Fars, Iran)

  • Nabil Mlaiki

    (Department of Mathematics and General Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabi)

  • Hassen Aydi

    (Université de Sousse, Institut Supérieur d’Informatique et des Techniques de Communication, H. Sousse 4000, Tunisia
    China Medical University Hospital, China Medical University, Taichung 40402, Taiwan)

Abstract

The aim of this paper is to generalize the F -contractive condition in the framework of α − ν -complete modular b -metric spaces. Some results in ordered modular b -metric spaces are also presented. Moreover, an illustrative example and some related applications are presented to support the obtained results.

Suggested Citation

  • Vahid Parvaneh & Nawab Hussain & Maryam Khorshidi & Nabil Mlaiki & Hassen Aydi, 2019. "Fixed Point Results for Generalized ℱ-Contractions in Modular b -Metric Spaces with Applications," Mathematics, MDPI, vol. 7(10), pages 1-16, September.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:10:p:887-:d:269974
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