Recommended by Sehie Park We prove that the recent fixed point theorem for contractions of integral type due to Branciari is a corollary of the famous Meir-Keeler fixed point theorem. We also prove that Meir-Keeler contractions of integral type are still Meir-Keeler contractions.

In this paper, we first introduce some types of generalized $alpha$-Meir-Keeler contractions in $b$-metric-like spaces and then we establish some fixed point results for these types of contractions. Also, we present a new fixed point theorem for a Meir-Keeler contraction through rational expression. Finally, we give some examples to illustrate the usability of the obtained results.

Berinde and Borcut [1] introduced the concept of triple fixed point and proof some related fixed point theorem with some applications. The aim of this paper is to extend the result of Berinde and Borcut [1]. Indeed, we introduced the definition of generalized g−Meir-Keeler type contractions and prove some tripled fixed point theorems under a generalized g−Meir-Keeler type contractive condition....

In our paper, we propose two new iterative algorithms with Meir–Keeler contractions that are based on Tseng’s method, the multi-step inertial hybrid projection and shrinking method to solve a monotone variational inclusion problem in Hilbert spaces. The strong convergence of proposed is proven. Using results, can convex minimization problems.

We introduce a new iterative scheme with Meir-Keeler contractions for strict pseudocontractions in q-uniformly smooth Banach spaces. We also discuss the strong convergence theorems for the new iterative scheme in q-uniformly smooth Banach space. Our results improve and extend the corresponding results announced by many others.