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

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.

کلیدواژه ها:

Ciric-Kannan -alpha-psi-contraction ، fixed point ، nonlinear neutral differential equation ، F -metric space ، alpha-admissible