Abbas, MujahidAli, BasitRomaguera, Salvador2014-04-032014-04-032013-11-07Abbas, M, Ali, B & Romaguera, S 2013, 'Fixed and periodic points of generalized contractions in metric spaces', Fixed Point Theory and Applications, vol. 2013, art. 243, pp. 1-11.1687-1820 (print)1687-1812 (online)10.1186/1687-1812-2013-243http://hdl.handle.net/2263/39597Wardowski (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.en© 2013 Abbas et al.; licensee Springer. This is an Open Access article distributed under the terms of the Creative Commons Attribution LicenseF-contractionProperty PProperty QCommon fixed pointArticle