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Fixed Point Results for Multivalued Contractive Mappings Endowed with Graphic Structure

Author

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  • Tahair Rasham
  • Abdullah Shoaib
  • Badriah A. S. Alamri
  • Muhammad Arshad

Abstract

The aim of this paper is to introduce the notion of admissible multivalued mappings and to set up fixed point results for such mappings fulfilling generalized locally Ćirić type rational-contractive conditions on a closed ball in complete dislocated - metric space. Example and application have been given to demonstrate the novelty of our results. Our results combine, extend, and infer several comparable results in the existing literature.

Suggested Citation

  • Tahair Rasham & Abdullah Shoaib & Badriah A. S. Alamri & Muhammad Arshad, 2018. "Fixed Point Results for Multivalued Contractive Mappings Endowed with Graphic Structure," Journal of Mathematics, Hindawi, vol. 2018, pages 1-8, December.
    • Handle: RePEc:hin:jjmath:5816364
    DOI: 10.1155/2018/5816364
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    Cited by:

    1. Ekber Girgin & Mahpeyker Öztürk, 2019. "Modified Suzuki-Simulation Type Contractive Mapping in Non-Archimedean Quasi Modular Metric Spaces and Application to Graph Theory," Mathematics, MDPI, vol. 7(9), pages 1-14, August.
    2. Qasim Mahmood & Abdullah Shoaib & Tahair Rasham & Muhammad Arshad, 2019. "Fixed Point Results for the Family of Multivalued F -Contractive Mappings on Closed Ball in Complete Dislocated b -Metric Spaces," Mathematics, MDPI, vol. 7(1), pages 1-11, January.

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