On some weak contractive mappings of integral type and fixed point results in b-metric spaces

被引：0
|
作者：
Guan, Hongyan [1 ]
Gou, Jinze [1 ]
Hao, Yan [1 ]
机构：
[1] Shenyang Normal Univ, Sch Math & Syst Sci, Shenyang 110034, Peoples R China
来源：
AIMS MATHEMATICS | 2024年 / 9卷 / 02期
关键词：
fixed point; contractive mapping of integral type; 0-weak contraction; 0-tfr-weak contraction; b-metric; FUNCTIONAL-EQUATIONS; THEOREMS;
D O I：
10.3934/math.2024228
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the article, we considered the fixed point problem for contractive mappings of integral type in the setting of b-metric spaces for the first time. First, we introduced the concepts of 0-weak contraction and 0-tfr-weak contraction. Second, the existence and uniqueness of fixed points of contractive mappings of integral type in b-metric spaces were studied. Meanwhile, two examples were given to prove the feasibility of our results. As an application, we proved the solvability of a functional equation arising in dynamic programming.
引用
收藏
页码：4729 / 4748
页数：20
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