Some fixed point results for α-admissible extended Z-contraction mappings in extended rectangular b-metric spaces

被引：0
作者：
Sun, Yan [1 ]
Liu, Xiao-lan [1 ,2 ,3 ]
Deng, Jia [1 ]
Zhou, Mi [4 ]
机构：
[1] Sichuan Univ Sci & Engn, Coll Math & Stat, Zigong 643000, Sichuan, Peoples R China
[2] Key Lab Higher Educ Sichuan Prov Enterprise Infor, Zigong 643000, Sichuan, Peoples R China
[3] South Sichuan Ctr Appl Math, Zigong 643000, Sichuan, Peoples R China
[4] Univ Sanya, Sch Sci & Technol, Sanya 572022, Hainan, Peoples R China
来源：
AIMS MATHEMATICS | 2022年 / 7卷 / 03期
基金：
中国国家自然科学基金;
关键词：
fixed point; extended Z-contraction mappings; extended rectangular b-metric; THEOREMS;
D O I：
10.3934/math.2022205
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce alpha-admissible extended Z-contraction in the extended rectangular b-metric spaces, then we provide some other conditions in Theorem 3.1, which are different from that in Chifu et al. [1], and obtain the existence and uniqueness of fixed point in such spaces. Moreover, some examples are given to show the validity of our main theorems, and we give some corollaries related to our main results. As an application, we apply our main results to solve the existence of solutions for a class of boundary value problems of second order ordinary differential equtions
引用
收藏
页码：3701 / 3718
页数：18
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