MMN-4728
A note on Proinov contraction
Marija Cvetković;Abstract
Proinov contraction has appeared a several years ago as a new approach in the study of nonlinear contractions that unifies and extends several well-known nonlinear contractions. What was not discussed is the relation of Proinov contraction and Meir-Keeler contraction mapping which also presents an important concept of nonlinear contractions that does not include a usual contractive condition. The aim of this paper is to show that Proinov contraction is a Meir-Keeler contraction and that all obtained results under the scope of this contraction and its generalizations are the direct consequence of the analogous results concerning Meir-Keeler contraction mappings.
Vol. 26 (2025), No. 2, pp. 675-683