Coupled Coincidence and Coupled Common Fixed Points of (Ψ, Ф) Contraction Type T-coupling in Metric Spaces

Abstract

The purpose of this thesis was to establish coupled coincidence and coupled common fixed point theorem of (y ; f )-contraction type T-coupling in metric spaces and prove the existence and uniqueness of coupled coincidence and coupled common fixed point of (y ; f )-contraction type T-coupling. We employed analytical design and used secondary sources of data such as published articles and related books. The standard procedures used in the published work of Rao et al. (2013); Choudhury et al. (2017); Rashid & Khan (2018) have been used to prove our established theorem. Our result extend and generalize comparable results in the literature. Finally, we gave an example to illustrate our main results.