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dc.contributor.authorRoldán López de Hierro, Antonio Francisco
dc.contributor.authorShahzad, Naseer
dc.identifier.citationRoldán López de Hierro, A.F.; Shahzad, N. New fixed point theorem under R-contractions. Fixed Point Theory and Applications, 2015: 98 (2015). []es_ES
dc.description.abstractIn this manuscript we introduce the notions of R-function and R-contractions, and we show an ad hoc fixed point theorem. We prove that this new kind of contractions properly includes the family of all Meir-Keeler contractions and other well-known classes of contractions that have been given very recently (for instance, those using simulation functions and manageable functions). As a consequence, our approach turns out to be appropriate to unify the treatment of different kinds of contractive nonlinear operators.es_ES
dc.description.sponsorshipThis article was funded by the Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah. The second author, therefore, acknowledges with thanks DSR for technical and financial support. The authors are grateful to three anonymous referees for their useful suggestions and comments. AF Roldán López de Hierro is grateful to the Department of Quantitative Methods for Economics and Business of the University of Granada. The same author has been partially supported by Junta de Andalucía by project FQM-268 of the Andalusian CICYE.es_ES
dc.rightsCreative Commons Attribution-NonCommercial-NoDerivs 3.0 Licensees_ES
dc.subjectSimulation functiones_ES
dc.subjectManageable functiones_ES
dc.subjectFixed point theoremes_ES
dc.titleNew fixed point theorem under R-contractionses_ES

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