Almost α -Hardy-Rogers- F -contractions and their applications

Author(s)

Almost α -Hardy-Rogers- F -contractions and their applications Anita Tomar

The aim of this article is to introduce the notion of almost αα-Hardy-Rogers-FF-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.

DOI: 10.52737/18291163-2019.11.11-1-19 Armenian Journal of Mathematics, 11(11) 1-19

Download PDF

Keywords

α -admissible, 0 -complete, almost α -Hardy-Rogers- F -contraction, partial metric space

Check for updates

Share

Contact admin with any questions, comments or concerns

[email protected]