Extended Simulation Function via Rational Expressions

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URI: http://hdl.handle.net/10481/62976
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Auteur
Alsubaie, Rawan; Roldán López de Hierro, Antonio Francisco
Editorial
MDPI
Materia
Fixed point
 
Metric spaces
 
Simulation function
 
Rational expression
 
Common fixed point
 
Date
2020-05
Referencia 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-0102-2017
Résumé
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.
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