On the Meir–Keeler theorem in quasi-metric spaces

被引：0
作者：
Mecheraoui Rachid
Zoran D. Mitrović
Vahid Parvaneh
Zohreh Bagheri
机构：
[1] Abbes Laghrour University,Faculty of Sciences and Technology
[2] University of Banja Luka,Faculty of Electrical Engineering
[3] Islamic Azad University,Department of Mathematics, Gilan
[4] Islamic Azad University,e
来源：
Journal of Fixed Point Theory and Applications | 2021年 / 23卷
关键词：
Meir–Keeler contractions; rational contractions; fixed point; Musielak–Orlicz spaces; quasi-metric spaces; 47H10; 54H25; 46J10;
D O I：
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学科分类号：
摘要：
The main purpose of this paper is to show that the Meir–Keeler contraction principle, as well as some of its generalizations, is, in general, not true in quasi-metric spaces. After that, we suggest a new Meir–Keeler type contraction that guaranties the existence and uniqueness of fixed points in quasi-metric spaces. Finally, to illustrate the wide usability of our findings, we discuss the existence and uniqueness of solutions for an integro-differential equation in Musielak–Orlicz spaces.
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