Extended Simulation Function via Rational Expressions Alsubaie, Rawan Roldán López de Hierro, Antonio Francisco Fixed point Metric spaces Simulation function Rational expression Common fixed point In this paper, we introduce some common fixed point theorems for two distinct self-mappings in the setting of metric spaces by using the notion of a simulation function introduced in 2015. The contractivity conditions have not to be verified for all pairs of points of the space because it is endowed with an antecedent conditions. They are also of rational type because the involved terms in the contractivity upper bound are expressed, in some cases, as quotients. 2020-07-14T11:50:02Z 2020-07-14T11:50:02Z 2020-05 info:eu-repo/semantics/article Alsubaie, R., Alqahtani, B., Karapınar, E., & Hierro, A. F. R. L. D. (2020). Extended Simulation Function via Rational Expressions. Mathematics, 8(5), 710. [doi:10.3390/math8050710] http://hdl.handle.net/10481/62976 10.3390/math8050710 eng http://creativecommons.org/licenses/by/3.0/es/ info:eu-repo/semantics/openAccess Atribución 3.0 España MDPI