Upper class of type I on coupled coincidence point results for some contractions in partially ordered JS-metric spaces

Abstract

Abstract In this research work, the necessary and sufficient conditions of a coupled coincidence point of certain type of generalized contractions are explored. These results are considered under JS-metric spaces equipped with a partial order. Moreover, examples satisfying theorems are given. Finally, an application to a system of integral equations is obtained using our results. In addition, an example of the system is provided.

Keywords

• Coupled coincidence point
• Upper class
• JS-metric space
• Partially ordered set
• Geraghty