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Fixed Point Results for Dualistic Contractions with an Application

Author

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  • Muhammad Nazam
  • Aiman Mukheimer
  • Hassen Aydi
  • Muhammad Arshad
  • Raheel Riaz

Abstract

In this paper, by introducing a convergence comparison property of a self-mapping, we establish some new fixed point theorems for Bianchini type, Reich type, and Dass-Gupta type dualistic contractions defined on a dualistic partial metric space. Our work generalizes and extends some well known fixed point results in the literature. We also provide examples which show the usefulness of these dualistic contractions. As an application of our findings, we demonstrate the existence of the solution of an elliptic boundary value problem.

Suggested Citation

  • Muhammad Nazam & Aiman Mukheimer & Hassen Aydi & Muhammad Arshad & Raheel Riaz, 2020. "Fixed Point Results for Dualistic Contractions with an Application," Discrete Dynamics in Nature and Society, Hindawi, vol. 2020, pages 1-9, January.
    • Handle: RePEc:hin:jnddns:6428671
    DOI: 10.1155/2020/6428671
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