In this manuscript, we prove that the newly introduced F-metric spaces are
Hausdorff and first countable. We investigate some interrelations among the
Lindel?fness, separability and second countability axiom in the setting of
F-metric spaces. Moreover, we acquire some interesting fixed point results
concerning altering distance functions for contractive type mappings and
Kannan type contractive mappings in this exciting context. In addition, most
of the findings are well-furnished by several non-trivial examples. Finally,
we raise an open problem regarding the structure of an open set in this
setting.
Some interesting results on F-metric spaces