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ON H + Type Multivalued Contractions and Applications in Symmetric and Probabilistic Spaces

Author

Listed:
  • Pradip Patle

    (Department of Mathematics, Visvesvaraya National Institute of Technology, Nagpur 440010, India)

  • Deepesh Patel

    (Department of Mathematics, Visvesvaraya National Institute of Technology, Nagpur 440010, India)

  • Hassen Aydi

    (Department of Mathematics, College of Education in Jubail, Imam Abdulrahman Bin Faisal University, Industrial Jubail 31961, Saudi Arabia)

  • Stojan Radenović

    (Department of Mathematics, College of Science, King Saud University, Riyadh 11451, Saudi Arabia)

Abstract

The main idea in this article is to establish some fixed and common fixed point results for multivalued H + -type contraction mappings in symmetric spaces. New results are accompanied with illustrative examples. An application of the obtained results to probabilistic spaces is presented.

Suggested Citation

  • Pradip Patle & Deepesh Patel & Hassen Aydi & Stojan Radenović, 2019. "ON H + Type Multivalued Contractions and Applications in Symmetric and Probabilistic Spaces," Mathematics, MDPI, vol. 7(2), pages 1-16, February.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:2:p:144-:d:203303
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    References listed on IDEAS

    as
    1. Mujahid Abbas & Hassen Aydi & Erdal Karapınar, 2011. "Tripled Fixed Points of Multivalued Nonlinear Contraction Mappings in Partially Ordered Metric Spaces," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-12, December.
    2. Sarah Alshehri & Ivan Aranđelović & Naseer Shahzad, 2014. "Symmetric Spaces and Fixed Points of Generalized Contractions," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-8, March.
    3. E. Karapınar & D. K. Patel & M. Imdad & D. Gopal, 2013. "Some Nonunique Common Fixed Point Theorems in Symmetric Spaces through Property," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2013, pages 1-8, February.
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    Cited by:

    1. Özlem Acar & Hassen Aydi & Manuel De la Sen, 2021. "New Fixed Point Results via a Graph Structure," Mathematics, MDPI, vol. 9(9), pages 1-13, April.

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