Multiparametric Contractions and Related Hardy-Roger Type Fixed Point Theorems
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MDPI
Materia
b-metric space Multiparametric contraction Fixed point Contractivity condition Hardy-Rogers contractivity condition
Date
2020-06-11Referencia bibliográfica
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]
Sponsorship
Junta de Andalucia FQM-365; Ministerio de Economia, Industria y Competitividad TIN2017-89517-P; DSRAbstract
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.