On (α, ψ)-K-contractions in the extended b-metric space


Badr Alqahtani, Erdal Karapınar, Ali Öztürk




In this paper, we introduce a notion of (α,ψ)-K-contraction in the setting of extended b-metric spaces and investigate the existence of a fixed point. The presented results generalize and unify a number of well-known fixed point theorem mainly in two distinct aspects; in the sense of the contraction conditions and in the frame of abstract spaces.