New fixed point theorem under R-contractions Roldán López de Hierro, Antonio Francisco Shahzad, Naseer R-function Simulation function Manageable function Fixed point theorem In this manuscript we introduce the notions of R-function and R-contractions, and we show an ad hoc fixed point theorem. We prove that this new kind of contractions properly includes the family of all Meir-Keeler contractions and other well-known classes of contractions that have been given very recently (for instance, those using simulation functions and manageable functions). As a consequence, our approach turns out to be appropriate to unify the treatment of different kinds of contractive nonlinear operators. 2015-07-16T10:43:20Z 2015-07-16T10:43:20Z 2015 info:eu-repo/semantics/article Roldán López de Hierro, A.F.; Shahzad, N. New fixed point theorem under R-contractions. Fixed Point Theory and Applications, 2015: 98 (2015). [http://hdl.handle.net/10481/36990] 1687-1812 http://hdl.handle.net/10481/36990 10.1186/s13663-015-0345-y eng http://creativecommons.org/licenses/by-nc-nd/3.0/ info:eu-repo/semantics/openAccess Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License Springer