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Related fixed point results for cyclic contractions on G-metric spaces and application

Aydi Hassen (University of Dammam, College of Education of Jubail, Department of Mathematics, Industrial Jubail, Saudi Arabia + China Medical University, China Medical University Hospital, Department of Medical Research, Taichung, Taiwan)
Felhi Abdelbasset (King Faisal University, College of Sciences, Department of Mathematics, Al-Hassa, Saudi Arabia)
Sahmim Slah (King Faisal University, College of Sciences, Department of Mathematics, Al-Hassa, Saudi Arabia)

In this paper, we establish some fixed point theorems in G-metric spaces involving generalized cyclic contractions. Some subsequent results are derived. The presented results generalize many well known results in the literature. Moreover, we provide some concrete examples and an application on the existence and uniqueness of solutions to a class of nonlinear integral equations.

Keywords: G-metric space, fixed point, cyclic contraction