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Coincidence Points of a Sequence of Multivalued Mappings in Metric Space with a Graph

Author

Listed:
  • Muhammad Nouman Aslam Khan

    (School of Chemical and Materials Engineering, National University of Sciences and Technology, H-12, Islamabad 44000, Pakistan
    Department of Mathematics, COMSATS Institute of Information Technology, Chak Shahzad, Islamabad 44000, Pakistan
    These authors contributed equally to this work.)

  • Akbar Azam

    (Department of Mathematics, COMSATS Institute of Information Technology, Chak Shahzad, Islamabad 44000, Pakistan
    These authors contributed equally to this work.)

  • Nayyar Mehmood

    (Department of Mathematics and Statistics, International Islamic University, H-10, Islamabad 44000, Pakistan
    These authors contributed equally to this work.)

Abstract

In this article the coincidence points of a self map and a sequence of multivalued maps are found in the settings of complete metric space endowed with a graph. A novel result of Asrifa and Vetrivel is generalized and as an application we obtain an existence theorem for a special type of fractional integral equation. Moreover, we establish a result on the convergence of successive approximation of a system of Bernstein operators on a Banach space.

Suggested Citation

  • Muhammad Nouman Aslam Khan & Akbar Azam & Nayyar Mehmood, 2017. "Coincidence Points of a Sequence of Multivalued Mappings in Metric Space with a Graph," Mathematics, MDPI, vol. 5(2), pages 1-10, May.
    • Handle: RePEc:gam:jmathe:v:5:y:2017:i:2:p:30-:d:99808
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    References listed on IDEAS

    as
    1. Azam, Akbar & Arshad, Muhammad & Beg, Ismat, 2009. "Fixed points of fuzzy contractive and fuzzy locally contractive maps," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 2836-2841.
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