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Functional-Type Caristi–Kirk Theorem on Menger Space and Application

Author

Listed:
  • Soumia Chaira
  • Mohammed Dahmouni
  • Abderrahim Eladraoui
  • Mustapha Kabil
  • Nan-Jing Huang

Abstract

In this paper, we extend Caristi’s fixed point theorem in metric spaces to probabilistic metric spaces, and also, we prove some common fixed point theorems for a pair of mappings satisfying a system of Caristi-type contractions in the setting of a Menger space. Two examples are given to support the main results. Furthermore, we have functional equations as an application for the main theorem.

Suggested Citation

  • Soumia Chaira & Mohammed Dahmouni & Abderrahim Eladraoui & Mustapha Kabil & Nan-Jing Huang, 2020. "Functional-Type Caristi–Kirk Theorem on Menger Space and Application," Journal of Mathematics, Hindawi, vol. 2020, pages 1-8, June.
    • Handle: RePEc:hin:jjmath:3931426
    DOI: 10.1155/2020/3931426
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