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

Karim Chaira; Abderrahim Eladraoui; Mustapha Kabil; Samih Lazaiz

doi:10.1155/2018/1471256

International Journal of Mathematics and Mathematical Sciences (Jan 2018)

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

Karim Chaira,
Abderrahim Eladraoui,
Mustapha Kabil,
Samih Lazaiz

Affiliations

Karim Chaira: Laboratory of Algebra, Analysis and Applications, Faculty of Sciences Ben M’sik, University of Hassan II Casablanca, Casablanca, Morocco
Abderrahim Eladraoui: Laboratory of Mathematics and Applications, Faculty of Sciences and Technologies, Mohammedia, University of Hassan II Casablanca, Casablanca, Morocco
Mustapha Kabil: Laboratory of Mathematics and Applications, Faculty of Sciences and Technologies, Mohammedia, University of Hassan II Casablanca, Casablanca, Morocco
Samih Lazaiz: Laboratory of Algebra, Analysis and Applications, Faculty of Sciences Ben M’sik, University of Hassan II Casablanca, Casablanca, Morocco

DOI: https://doi.org/10.1155/2018/1471256
Journal volume & issue: Vol. 2018

Abstract

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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.

Published in International Journal of Mathematics and Mathematical Sciences

ISSN: 0161-1712 (Print); 1687-0425 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/6396

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