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On Interpolative Prešić‐Type Set‐Valued Contractions

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  • Monairah Alansari
  • Ghada Ali Basendwah
  • Muhammad Usman Ali

Abstract

This study aims to present the notions of interpolative Prešić‐type set‐valued contractions for the set‐valued operators defined on product spaces. With the help of these notions, we have studied the existence of fixed points for such set‐valued operators. An application of the obtained results is also discussed with the help of graph theory.

Suggested Citation

  • Monairah Alansari & Ghada Ali Basendwah & Muhammad Usman Ali, 2022. "On Interpolative Prešić‐Type Set‐Valued Contractions," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jjmath:v:2022:y:2022:i:1:n:4194875
    DOI: 10.1155/2022/4194875
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    References listed on IDEAS

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    1. Erdal Karapinar & Ravi Agarwal & Hassen Aydi, 2018. "Interpolative Reich–Rus–Ćirić Type Contractions on Partial Metric Spaces," Mathematics, MDPI, vol. 6(11), pages 1-7, November.
    2. Monairah Alansari & Ghada Ali Basendwah & Muhammad Usman Ali, 2022. "On Interpolative Prešić‐Type Set‐Valued Contractions," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
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    1. Monairah Alansari & Ghada Ali Basendwah & Muhammad Usman Ali, 2022. "On Interpolative Prešić‐Type Set‐Valued Contractions," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).

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