Ample Spectrum Contractions and Related Fixed Point Theorems Roldán López de Hierro, Antonio Francisco Shahzad, Naseer R-function Simulation function Manageable function Fixed point Contractivity condition Binary relation Simulation functions were introduced by Khojasteh et al. as a method to extend several classes of fixed point theorems by a simple condition. After that, many researchers have amplified the knowledge of such kind of contractions in several ways. R-functions, (R, S)-contractions and (A, S)-contractions can be considered as approaches in this direction. A common characteristic of the previous kind of contractive maps is the fact that they are defined by a strict inequality. In this manuscript, we show the advantages of replacing such inequality with a weaker one, involving a family of more general auxiliary functions. As a consequence of our study, we show that not only the above-commented contractions are particular cases, but also another classes of contractive maps correspond to this new point of view. 2020-01-15T10:59:53Z 2020-01-15T10:59:53Z 2019-11-02 info:eu-repo/semantics/article Roldán López de Hierro, A. F., & Shahzad, N. (2019). Ample Spectrum Contractions and Related Fixed Point Theorems. Mathematics, 7(11), 1033. http://hdl.handle.net/10481/58766 10.3390/math7111033 eng http://creativecommons.org/licenses/by/3.0/es/ info:eu-repo/semantics/openAccess Atribución 3.0 España MDPI