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Fixed Point Results for Multivalued Prešić Type Weakly Contractive Mappings

Author

Listed:
  • Abdul Latif

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

  • Talat Nazir

    (Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus, Abbottabad 22060, Pakistan)

  • Mujahid Abbas

    (Department of Mathematics, Government College University, Lahore-54000, Pakistan
    Department of Mathematics and Applied Mathematics, University of Pretoria, Hatfield, Pretoria 002, South Africa)

Abstract

We present fixed points results of multivalued Prešić type k -step iterative mappings satisfying generalized weakly contraction conditions in metric spaces. An example is presented to support the main result proved herein. The stability of fixed point sets of multivalued Prešić type weakly contractive mappings are also established. Global attractivity result for the class of matrix difference equations is derived as application of the result presented herein. These results generalize and extend various comparable results in the existing literature.

Suggested Citation

  • Abdul Latif & Talat Nazir & Mujahid Abbas, 2019. "Fixed Point Results for Multivalued Prešić Type Weakly Contractive Mappings," Mathematics, MDPI, vol. 7(7), pages 1-14, July.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:7:p:601-:d:246264
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    References listed on IDEAS

    as
    1. K. P. R. Rao & Sk. Sadik & S. Manro, 2016. "Presic Type Fixed Point Theorem for Four Maps in Metric Spaces," Journal of Mathematics, Hindawi, vol. 2016, pages 1-4, November.
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    Cited by:

    1. Mustafa Aslantas, 2022. "Finding a Solution to an Optimization Problem and an Application," Journal of Optimization Theory and Applications, Springer, vol. 194(1), pages 121-141, July.

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