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Extension of Kirk-Saliga Fixed Point Theorem in a Metric Space with a Reflexive Digraph

Author

Listed:
  • Karim Chaira
  • Abderrahim Eladraoui
  • Mustapha Kabil
  • Samih Lazaiz

Abstract

We extend the result of Kirk-Saliga and we generalize Alfuraidan and Khamsi theorem for reflexive graphs. As a consequence, we obtain the ordered version of Caristi’s fixed point theorem. Some concrete examples are given to support the obtained results.

Suggested Citation

  • Karim Chaira & Abderrahim Eladraoui & Mustapha Kabil & Samih Lazaiz, 2018. "Extension of Kirk-Saliga Fixed Point Theorem in a Metric Space with a Reflexive Digraph," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2018, pages 1-6, February.
    • Handle: RePEc:hin:jijmms:1471256
    DOI: 10.1155/2018/1471256
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    References listed on IDEAS

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    1. M. R. Alfuraidan & M. A. Khamsi, 2014. "Caristi Fixed Point Theorem in Metric Spaces with a Graph," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-5, March.
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