Solving the system of nonlinear integral equations via rational contractions

Abstract

In this paper, some coupled coincidence point theorems for two mappings established using rational type contractions in the setting of partially ordered G−metric spaces. Moreover, supporting examples are provided to strengthen our obtained results. By considering G−metric space, we propose a fairly simple solution for a system of nonlinear integral equations by using fixed point technique.

Keywords

• partially ordered g-metric space
• mixed weakly g-monotone property
• coupled coincidence point
• coupled fixed point
• nonlinear integral equations