Common Fixed Point Results for Set-valued Integral Type Contractions on Metric Spaces with Directed Graph

Authors

DOI:

https://doi.org/10.29020/nybg.ejpam.v13i5.3747

Keywords:

common fixed point, multi-valued mapping, graphic contraction, directed graph

Abstract

The aim of this paper is to establish new common fixed point
results for multivalued integral type contraction mappings on a family of sets endowed with a graph. The obtained results generalize several recent ones. An example of application is included to illustrate the main existence theorem.

Author Biography

Smail Djebali, Imam Mohammad Ibn Saud Islamic University, Riyadh (Saudi Arabia)

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How to Cite

Benchabane, S., Djebali, S., & Nazir, T. (2020). Common Fixed Point Results for Set-valued Integral Type Contractions on Metric Spaces with Directed Graph. European Journal of Pure and Applied Mathematics, 13(5), 1072–1087. https://doi.org/10.29020/nybg.ejpam.v13i5.3747