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

Saadia Benchabane, Smail Djebali, Talat Nazir

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.

Keywords

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

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