title: Common Coupled Fixed Point Theorems for Two Hybrid Pairs of Mappings under φ-ψ Contraction.
abstract: We introduce the concept of (EA) property and occasional w-compatibility for hybrid pair F : X × X → 2 (X) and f : X → X. We also introduce common (EA) property for two hybrid pairs F, G : X → 2 (X) and f, g : X → X. We establish some common coupled fixed point theorems for two hybrid pairs of mappings under φ-ψ 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.
authors.affiliation: Department of Mathematics, Govt. PG Arts & Science College, Ratlam, Madhya Pradesh 457001, India.
authors.forename: Bhavana
authors.identifier: 0000-0003-3457-9682
authors.initials: B
authors.lastname: Deshpande
authors.affiliation: Department of Mathematics, Govt. PG Arts & Science College, Ratlam, Madhya Pradesh 457001, India.
authors.forename: Amrish
authors.initials: A
authors.lastname: Handa