Common coupled fixed point theorems for two hybrid pairs of mappings under \(\varphi\)-\(\psi\) contraction
Summary: We introduce the concept of (EA) property and occasional \(w\)-compatibility for hybrid pair \(F : X \times X \rightarrow 2^X\) and \(f : X \rightarrow X\). We also introduce common (EA) property for two hybrid pairs \(F, G : X \rightarrow 2^X\) and \(f, g : X \rightarrow X\). We establish some common coupled fixed point theorems for two hybrid pairs of mappings under \(\varphi\)-\(\psi\) contraction on noncomplete metric spaces. An example is also given to validate our results. We improve, extend and generalize several known results. The results of this paper generalize the common fixed point theorems for hybrid pairs of mappings and essentially contain fixed point theorems for hybrid pair of mappings.
scientific article; zbMATH DE number 7027200
scientific article