TY - JOUR
AU - Nazam, Muhammad
AU - Arshad, Muhammad
AU - Abbas, Mujahid
PY - 2017/10/02
Y2 - 2022/12/09
TI - Existence of common fixed points of improved F-contraction on partial metric spaces
JF - Applied General Topology
JA - Appl. Gen. Topol.
VL - 18
IS - 2
SE -
DO - 10.4995/agt.2017.6776
UR - https://polipapers.upv.es/index.php/AGT/article/view/6776
SP - 277-287
AB - Following the approach of F-contraction introduced by Wardowski [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 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.
ER -