A NEW GENERALIZATION OF $ \mathcal{F} $ -METRIC SPACES AND SOME FIXED POINT THEOREMS AND AN APPLICATION

In this paper, we extend $ \mathcal{F} $-metric spaces to more general spaces, named generalized $ \mathcal{F} $-metric spaces and establish some fixed point theorems via comparison function, $ F $-contraction, Geraghty contraction and JS-contraction in the setting of generalized $ \mathcal{F} $-metric spaces. Our results generalize many present theorems.