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