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Fixed Point Results for α * - ψ -Dominated Multivalued Contractive Mappings Endowed with Graphic Structure

Author

Listed:
  • Tahair Rasham

    (Department of Mathematics, International Islamic University, H-10, Islamabad 44000, Pakistan)

  • Abdullah Shoaib

    (Department of Mathematics and Statistics, Riphah International University, Islamabad 44000, Pakistan)

  • Badriah A. S. Alamri

    (Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
    Mathematics Department, Faculty of Science, University of Jeddah, P.O. Box 80327, Jeddah 21589, Saudi Arabia)

  • Awais Asif

    (Department of Mathematics, International Islamic University, H-10, Islamabad 44000, Pakistan)

  • Muhammad Arshad

    (Department of Mathematics, International Islamic University, H-10, Islamabad 44000, Pakistan)

Abstract

The purpose of this paper is to establish fixed point results for a pair α ∗ -dominated multivalued mappings fulfilling generalized locally new α ∗ - ψ -Ćirić type rational contractive conditions on a closed ball in complete dislocated metric spaces. Examples and applications are given to demonstrate the novelty of our results. Our results extend several comparable results in the existing literature.

Suggested Citation

  • Tahair Rasham & Abdullah Shoaib & Badriah A. S. Alamri & Awais Asif & Muhammad Arshad, 2019. "Fixed Point Results for α * - ψ -Dominated Multivalued Contractive Mappings Endowed with Graphic Structure," Mathematics, MDPI, vol. 7(3), pages 1-14, March.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:3:p:307-:d:217292
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    References listed on IDEAS

    as
    1. N. Hussain & S. Al-Mezel & P. Salimi, 2013. "Fixed Points for -Graphic Contractions with Application to Integral Equations," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-11, October.
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