Improved F-contraction of rational type on partial metric spaces

[EN] Following the approach of $F$- contraction introduced by Wardowski \cite{DW}, 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 example, that improved $F$-contraction is more general than $F$- contraction 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.Nazam, M.; Arshad, M.; Abbas, M. (2017). Improved F-contraction of rational type on partial metric spaces. Applied General Topology. 18(2):277-287. doi:10.4995/agt.2017.677627728718