Multiparametric Contractions and Related Hardy-Roger Type Fixed Point Theorems Roldán López de Hierro, Antonio Francisco b-metric space Multiparametric contraction Fixed point Contractivity condition Hardy-Rogers contractivity condition The authors acknowledge with thanks DSR for financial support. A.F. Roldán López de Hierro is grateful to Junta de Andalucía by project FQM-365 of the Andalusian CICYE and Project TIN2017-89517-P of the Ministerio de Economía, Industria y Competitividad. In this paper we present some novel fixed point theorems for a family of contractions depending on two functions (that are not defined on t = 0) and on some parameters that we have called multiparametric contractions. We develop our study in the setting of b-metric spaces because they allow to consider some families of functions endowed with b-metrics deriving from similarity measures that are more general than norms. Taking into account that the contractivity condition we will employ is very general (of Hardy-Rogers type), we will discuss the validation and usage of this novel condition. After that, we introduce the main results of this paper and, finally, we deduce some consequences of them which illustrates the wide applicability of the main results. 2020-09-08T10:24:29Z 2020-09-08T10:24:29Z 2020-06-11 journal article Roldán López de Hierro, A. F., Karapınar, E., & Fulga, A. (2020). Multiparametric Contractions and Related Hardy-Roger Type Fixed Point Theorems. Mathematics, 8(6). [doi: 10.3390/math8060957] http://hdl.handle.net/10481/63329 10.3390/math8060957 eng http://creativecommons.org/licenses/by/3.0/es/ open access Atribución 3.0 España MDPI