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Fixed-Point Theorem for Nonlinear - Contraction via - Distance

Author

Listed:
  • Abdelkarim Kari
  • Mohamed Rossafi
  • El Miloudi Marhrani
  • Mohamed Aamri

Abstract

The aim of this paper is to introduce a notion of - contraction defined on a metric space with - distance. Moreover, fixed-point theorems are given in this framework. As an application, we prove the existence and uniqueness of a solution for the nonlinear Fredholm integral equations. Some illustrative examples are provided to advocate the usability of our results.

Suggested Citation

  • Abdelkarim Kari & Mohamed Rossafi & El Miloudi Marhrani & Mohamed Aamri, 2020. "Fixed-Point Theorem for Nonlinear - Contraction via - Distance," Advances in Mathematical Physics, Hindawi, vol. 2020, pages 1-10, November.
    • Handle: RePEc:hin:jnlamp:6617517
    DOI: 10.1155/2020/6617517
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