Abstract:
Following the approach of F-contraction introduced byWardowski [13],
in this paper, we introduce improved F-contraction of rational type in
the framework of partial metric spaces and used it to obtain a common
fixed point theorem for a pair of self mappings. We show, through ex-
ample, that improved F-contraction is more general than F- contrac-
tion and guarantees fixed points in those cases where F-contraction
fails to provide. Moreover, we apply this fixed point result to show the
existence of common solution of the system of integral equations.
