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

页码：247 / 255

页数：9