Fixed point theory for the cyclic weaker Meir-Keeler function in complete metric spaces

In this article, we introduce the notions of cyclic weaker ϕ ○ φ -contractions and cyclic weaker ( ϕ, φ )-contractions in complete metric spaces and prove two theorems which assure the existence and uniqueness of a fixed point for these two types of contractions. Our results generalize or improve many recent fixed point theorems in the literature. MSC : 47H10; 54C60; 54H25; 55M20.