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Common Fixed Point Results via Set‐Valued Generalized Weak Contraction with Directed Graph and Its Application

Author

Listed:
  • Muhammad Shoaib
  • Muhammad Sarwar
  • Kamal Shah
  • Nabil Mlaiki

Abstract

In this manuscript, common fixed point results for set‐valued mapping under generalized (ψ, ϕ)1 and (ψ, ϕ)2 weak contraction without using Hausdorff metric are studied endowing with a graph. To demonstrate the authenticity of the established result, a suitable example and application to integral inclusion are also discussed.

Suggested Citation

  • Muhammad Shoaib & Muhammad Sarwar & Kamal Shah & Nabil Mlaiki, 2022. "Common Fixed Point Results via Set‐Valued Generalized Weak Contraction with Directed Graph and Its Application," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jjmath:v:2022:y:2022:i:1:n:2068050
    DOI: 10.1155/2022/2068050
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    References listed on IDEAS

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    1. Federico Echenique, 2005. "A short and constructive proof of Tarski’s fixed-point theorem," International Journal of Game Theory, Springer;Game Theory Society, vol. 33(2), pages 215-218, June.
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