Extended Simulation Function via Rational Expressions
Metadatos
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MDPI
Materia
Fixed point Metric spaces Simulation function Rational expression Common fixed point
Fecha
2020-05Referencia bibliográfica
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]
Patrocinador
MINECO BIO2014-56092-R RTI2018-098296-BI00 CTQ2016-76311; European Union (EU) BIO2014-56092-R RTI2018-098296-BI00 CTQ2016-76311 P12-CTS-1507; Andalusian Government P12-CTS-1507 BIO-267 CTS-107; Instituto de Salud Carlos III European Union (EU) PI19/01478; Junta de Andalucia PI-0102-2017Resumen
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.