Existence of common fixed points of improved F-contraction on partial metric spaces
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Date
Authors
Nazam, Muhammad
Arshad, Muhammad
Abbas, Mujahid
Journal Title
Journal ISSN
Volume Title
Publisher
Universidad Politécnica de Valencia
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.
Description
Keywords
Fixed point, Improved F-contraction, Integral equations, Partial metric
Sustainable Development Goals
Citation
Nazam, M., Arshad, M. & Abbas, M. 2017, 'Existence of common fixed points of improved F-contraction on partial metric spaces', Applied General Topology, vol. 18, no. 2, pp. 277-287.