OICC Press Mathematical Analysis and its Contemporary Applications 4 3 2022 04 01 On fixed point results in F-metric space with applications to neutral differential equations 10.30495/maca.2022.1952999.1050 EN Shehu Shagari Mohammed Department of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University, Zaria, Nigeria Yahaya Sirajo School of Arts and Sciences, American University of Nigeria, Yola, Adamawa State, Nigeria Ibrahim Aliyu Fulatan Department of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University, Zaria, Nigeria Journal Article 2022 04 01 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, novel existence conditions for a solution of nonlinear neutral differential equations are investigated to show the usability of our obtained results.