Fixed point theorems for orthogonal F-contraction mappings on O-complete metric spaces

被引：50
作者：
Sawangsup, Kanokwan [1 ]
Sintunavarat, Wutiphol [1 ]
Cho, Yeol Je [2 ,3 ]
机构：
[1] Thammasat Univ, Dept Math & Stat, Fac Sci & Technol, Rangsit Ctr, Pathum Thani 12121, Thailand
[2] Gyeongsang Natl Univ, Dept Math Educ, Jinju 52828, South Korea
[3] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China
来源：
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2020年 / 22卷 / 01期
关键词：
Fixed point; orthogonally metric space; orthogonal F-contraction; differential equation; PARTIALLY ORDERED SETS; PRINCIPLE;
D O I：
10.1007/s11784-019-0737-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce the notion of an orthogonal F-contraction mapping and establish some fixed point results for such contraction mappings in orthogonally metric spaces. Also, we give some examples which claim that the main results are generalizations of the Wardowski's fixed point theorem. As applications of the main results, we apply our main results to show the existence of a unique solution of the first-order ordinary differential equation.
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页数：14
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