On fixed point results in $F $-metric space with applications to neutral differential equations

Mohammed, Shehu Shagari; Sirajo, Yahaya; Fulatan, Ibrahim Aliyu

doi:10.30495/maca.2022.1952999.1050

On fixed point results in $F $-metric space with applications to neutral differential equations

https://doi.org/10.30495/maca.2022.1952999.1050

Volume 4, Issue 3
Spring 2022

Pages 47-62

Mathematical Analysis and its Contemporary Applications

Document Type : Original Article

Authors

Shehu Shagari Mohammed ¹

Yahaya Sirajo ²

Ibrahim Aliyu Fulatan ¹

¹ Department of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University, Zaria, Nigeria

² School of Arts and Sciences, American University of Nigeria, Yola, Adamawa State, Nigeria

Abstract

In this paper, a new concept of Ciric-Kannan -$\alpha-\psi$-contractions in the setting of $F $-metric space is introduced. Using this idea, endowed with suitable hypotheses, some fixed point theorems for such mappings in $F $-complete $F $-metric space are established. As an application, an existence condition for a solution of nonlinear neutral differential equations is investigated to show the usability of our obtained results.

Keywords

Ciric-Kannan -$\alpha-\psi$-contraction

nonlinear neutral differential equation

$F $-metric space

$alpha$-admissible