Abstract
In this article, we introduce the notions of (ϕ - φ)-weak contraction mappings and (ψ - φ)-weak contraction mappings in complete generalized metric spaces and prove two theorems which assure the existence of a periodic point for these two types of weak contraction.
Highlights
Introduction and preliminariesLet (X, d) be a metric space, D a subset of X and f : D ® X be a map
We introduce the below notions of the weaker Meir-Keeler function j : [0, ∞) ® [0, ∞) and stronger Meir-Keeler function ψ : [0, ∞) ® [0, 1)
The following provides an example of a stronger Meir-Keeler function
Summary
Introduction and preliminariesLet (X, d) be a metric space, D a subset of X and f : D ® X be a map. In [13,14], the authors proved the existence and uniqueness of fixed points for various Meir-Keeler type contractive functions.
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