An observation on α-type F-contractions and some ordered-theoretic fixed point results

被引：0
作者：
Imdad, Mohammad [1 ]
Gubran, Rqeeb [1 ]
Arif, Mohammad [1 ]
Gopal, Dhananjay [2 ]
机构：
[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India
[2] SV Natl Inst Technol, Dept Appl Math & Humanities, Surat 395007, Gujarat, India
来源：
MATHEMATICAL SCIENCES | 2017年 / 11卷 / 03期
关键词：
Fixed point; F-contraction; alpha F-weak contraction; Extended F-weak contraction; MAPPINGS; SETS;
D O I：
10.1007/s40096-017-0231-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We observe that all the results involving alpha-type F-contractions are not correct in their present forms. In this article, we prove some fixed point results for extended F-weak contraction mappings in metric and ordered-metric spaces. Our observations and the usability of our results are substantiated by using suitable examples. As an application, we prove an existence and uniqueness result for the solution of a first-order ordinary differential equation satisfying periodic boundary conditions in the presence of either its lower or upper solution.
引用
收藏
页码：247 / 255
页数：9
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