On Some Ciric Type Cyclic Coupled F-Contractions in Complete Metric Spaces

In this paper, the notions of cyclic coupled Wardowski’s F-contraction and generalized Ciric type mappings in complete metric space are discussed. Some coupled cyclic F-contractions of generalized Ciric type mappings are defined, and existence results for coupled fixed point, coupled coincidence point, strong coupled fixed point, and coupled best proximity point are established in the framework of complete metric space. An existence result for a coupled fixed point for generalized Ciric-type cyclic coupled F-contractive multivalued mapping is established. Further, an application of our result with regard to the existence of a system of functional equations is discussed.