@misc{10481/58766,
year = {2019},
month = {11},
url = {http://hdl.handle.net/10481/58766},
abstract = {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.},
organization = {This article was funded by the Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah.},
publisher = {MDPI},
keywords = {R-function},
keywords = {Simulation function},
keywords = {Manageable function},
keywords = {Fixed point},
keywords = {Contractivity condition},
keywords = {Binary relation},
title = {Ample Spectrum Contractions and Related Fixed Point Theorems},
doi = {10.3390/math7111033},
author = {Roldán López de Hierro, Antonio Francisco and Shahzad, Naseer},
}