On the Meir-Keeler theorem in quasi-metric spaces

被引：3

作者：

Rachid, Mecheraoui ^{[1
]}

Mitrovic, Zoran D. ^{[2
]}

Parvaneh, Vahid ^{[3
]}

Bagheri, Zohreh ^{[4
]}

机构：

[1] Abbes Laghrour Univ, Fac Sci & Technol, Khenchela 40000, Algeria

[2] Univ Banja Luka, Fac Elect Engn, Patre 5, Banja Luka 78000, Bosnia & Herceg

[3] Islamic Azad Univ, Dept Math, Gilan E Gharb Branch, Gilan E Gharb, Iran

[4] Islamic Azad Univ, Dept Math, Azadshahr Branch, Azadshahr, Iran

来源：

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2021年 / 23卷 / 03期

关键词：

Meir-Keeler contractions; rational contractions; fixed point; Musielak-Orlicz spaces; quasi-metric spaces; FIXED-POINT THEOREMS; CONTRACTIONS; MAPPINGS;

D O I：

10.1007/s11784-021-00874-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页数：16

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