Almost $\alpha$-Hardy-Rogers-$F$-contractions and their applications

Armenian Journal of Mathematics

View Publication Info
 
 
Field Value
 
Title Almost $\alpha$-Hardy-Rogers-$F$-contractions and their applications
 
Subject $\alpha$-admissible
$0$-complete
almost $\alpha$-Hardy-Rogers-$F$-contraction
partial metric space
41A60
68U10
 
Description The aim of this article is to introduce the notion of almost $\alpha$-Hardy-Rogers-$F$-contractions in the partial metric space and utilize it to establish the existence of a unique fixed point. Some examples are given to demonstrate the validity of our main result. Our results generalize classical and newer results in the literature. As an application, we solve the initial value problem of damped harmonic oscillator and a nonlinear fractional differential equation satisfying periodic boundary conditions, which demonstrates the importance of our contraction and provides motivation for such investigations.
 
Publisher National Academy of Sciences of Armenia
 
Date 2019-11-15
 
Type info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Peer-reviewed Article
 
Format application/pdf
 
Identifier http://armjmath.sci.am/index.php/ajm/article/view/276
 
Source Armenian Journal of Mathematics; Vol. 11 No. 11 (2019): Almost $\alpha$-Hardy-Rogers-$F$-contractions and their applications; 1-19
1829-1163
 
Language eng
 
Relation http://armjmath.sci.am/index.php/ajm/article/view/276/152
 
Rights Copyright (c) 2019 Armenian Journal of Mathematics
 

Contact Us

The PKP Index is an initiative of the Public Knowledge Project.

For PKP Publishing Services please use the PKP|PS contact form.

For support with PKP software we encourage users to consult our wiki for documentation and search our support forums.

For any other correspondence feel free to contact us using the PKP contact form.

Find Us

Twitter

Copyright © 2015-2018 Simon Fraser University Library