Wardowski (Fixed Point Theory Appl. 2012:94, 2012, doi:10.1186/1687-1812-2012-94)
introduced a new type of contraction called F-contraction and proved a fixed point
result in complete metric spaces, which in turn generalizes the Banach contraction
principle. The aim of this paper is to introduce F-contractions with respect to a
self-mapping on a metric space and to obtain common fixed point results. Examples
are provided to support results and concepts presented herein. As an application of
our results, periodic point results for the F-contractions in metric spaces are proved.