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

Armenian Journal of Mathematics

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Field Value
Title Almost $\alpha$-Hardy-Rogers-$F$-contractions and their applications
Subject $\alpha$-admissible
almost $\alpha$-Hardy-Rogers-$F$-contraction
partial metric space
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
Peer-reviewed Article
Format application/pdf
Source Armenian Journal of Mathematics; Vol. 11 No. 11 (2019): Almost $\alpha$-Hardy-Rogers-$F$-contractions and their applications; 1-19
Language eng
Rights Copyright (c) 2019 Armenian Journal of Mathematics

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