Extended Simulation Function via Rational Expressions

Rawan Alsubaie, Badr Alqahtani, Erdal Karapınar and Antonio Francisco Roldán López de Hierro
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Rawan Alsubaie: Department of Mathematics, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
Badr Alqahtani: Department of Mathematics, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
Erdal Karapınar: Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
Antonio Francisco Roldán López de Hierro: Department of Statistics and Operations Research, University of Granada, 18010 Granada, Spain

Mathematics, 2020, vol. 8, issue 5, 1-29

Abstract: 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.

Keywords: fixed point; metric space; simulation function; rational expression; common fixed point (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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