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PPF-Dependent Fixed Point Results for New Multi-Valued Generalized F -Contraction in the Razumikhin Class with an Application

Author

Listed:
  • Hasanen A. Hammad

    (Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt)

  • Manuel De la Sen

    (Institute of Research and Development of Processes University of the Basque Country, 48940 Leioa, Bizkaia, Spain)

Abstract

In this paper, a new multi-valued generalized F -contraction mapping is given. Using it, the existence of PPF-dependent fixed point for such mappings in the Razumikhin class is obtained. Moreover, an application for nonlinear integral equations with delay is presented here to illustrate the usability of the obtained results.

Suggested Citation

  • Hasanen A. Hammad & Manuel De la Sen, 2019. "PPF-Dependent Fixed Point Results for New Multi-Valued Generalized F -Contraction in the Razumikhin Class with an Application," Mathematics, MDPI, vol. 7(1), pages 1-16, January.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:1:p:52-:d:195406
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    References listed on IDEAS

    as
    1. Satish Shukla & Stojan Radenović, 2013. "Some Common Fixed Point Theorems for -Contraction Type Mappings in 0-Complete Partial Metric Spaces," Journal of Mathematics, Hindawi, vol. 2013, pages 1-7, March.
    2. Ravi P. Agarwal & Nawab Hussain & Mohamed-Aziz Taoudi, 2012. "Fixed Point Theorems in Ordered Banach Spaces and Applications to Nonlinear Integral Equations," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-15, July.
    3. Özlem Acar & Ishak Altun, 2014. "A Fixed Point Theorem for Multivalued Mappings with -Distance," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-5, July.
    Full references (including those not matched with items on IDEAS)

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