Fixed point theorems on orthogonal complete metric spaces with an application

被引：17
作者：
Touail, Youssef [1 ]
El Moutawakil, Driss [1 ]
机构：
[1] Univ Sultan Moulay Slimane Beni Mellal, Fac Polydisciplinare Khouribga, Equipe Rech Math Appl Technol Informat & Commun, Beni Mellal, Morocco
来源：
INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS | 2021年 / 12卷 / 02期
关键词：
Fixed point; O-complete metric space; O-contractive map; O-E-weakly contractive map; tau-distance; Hausdorff topological space;
D O I：
10.22075/ijnaa.2021.23033.2464
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce the concept of orthogonal contractive mappings and prove some fixed point theorems for such contractions. We establish our results in orthogonal bounded complete metric spaces via the notion of 7-distances. Moreover, an application to a differential equation is given.
引用
收藏
页码：1801 / 1809
页数：9
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