On α-ψ-Meir-Keeler contractive mappings

2013179 citationsJournal Articlegold Open Access

Authors

Poom Kumam · King Mongkut's University of Technology Thonburi

Peyman Salimi · Islamic Azad University, Tehran

Abstract

Abstract In this paper, we introduce the notion of α - ψ -Meir-Keeler contractive mappings via a triangular α -admissible mapping. We discuss the existence and uniqueness of a fixed point of such a mapping in the setting of complete metric spaces. We state a number of examples to illustrate our results. MSC: 46N40, 47H10, 54H25, 46T99.

Topics & Keywords

Fixed Point Theorems Analysis

UN Sustainable Development Goals

Reduced inequalities

Publication Details

Published in: Fixed Point Theory and Applications

Volume 2013, Issue 1

DOI: 10.1186/1687-1812-2013-94

Field-Weighted Citation Impact: 20.24