@article{Zahed2023, 
author = {Hanadi Zahed and Zhenhua Ma and Jamshaid Ahmad},
title = {On fixed point results in        F  -metric spaces with applications},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {7},
pages = {16887-16905},
keywords = {F-metric space, fixed point, locally rational contractions, generalized (α∗, ψ, δF)-contractive multifunctions, differential equation},
url = {https://www.sciopen.com/article/10.3934/math.2023863},
doi = {10.3934/math.2023863},
abstract = {The aim of this research article is to define locally rational contractions concerning control functions of one variable in the background of        F  -metric spaces and establish common fixed point results. We also introduce (       α          ∗      -   ψ  )-contractions and generalized (       α          ∗      ,    ψ  ,      δ                  F              )-contractions in        F  -metric spaces and obtain fixed points of multifunctions. A non trivial example is also furnished to manifest the originality of the fundamental result. As application, we investigate the solution of nonlinear neutral differential equation.}
}