Common fixed point results of generalized almost rational contraction mappings with an application

dc.contributor.authorHussain, Nawab
dc.contributor.authorIsik, Huseyin
dc.contributor.authorAbbas, Mujahid
dc.contributor.emailmujahid.abbas@up.ac.zaen_ZA
dc.date.accessioned2016-09-28T09:09:21Z
dc.date.available2016-09-28T09:09:21Z
dc.date.issued2016
dc.description.abstractIn this paper, we introduce the notion of generalized almost rational contraction with respect to a pair of self mappings on a complete metric space. Several common xed point results for such mappings are proved. Our results extend and unify various results in the existing literature. An example and application to obtain the existence of a common solution of the system of functional equations arising in dynamic programming are also given in order to illustrate the e ectiveness of the presented results.en_ZA
dc.description.departmentMathematics and Applied Mathematicsen_ZA
dc.description.librarianhb2016en_ZA
dc.description.sponsorshipThis article was funded by the Deanship of Scienti c Research (DSR), King Abdulaziz University, Jeddah.en_ZA
dc.description.urihttp://www.tjnsa.comen_ZA
dc.identifier.citationHussain, N, Isik, H & Abbas, M 2016, 'Common fixed point results of generalized almost rational contraction mappings with an application', The Journal of Nonlinear Sciences and its Applications, vol. 9, no. 5, pp. 2273-2288.en_ZA
dc.identifier.issn2008-1898 (print)
dc.identifier.issn2008-1901(online)
dc.identifier.urihttp://hdl.handle.net/2263/57056
dc.language.isoenen_ZA
dc.publisherInternational Scientific Research Publicationsen_ZA
dc.rights© 2016 All rights reserved. This article is published open access.en_ZA
dc.subjectPoint of coincidenceen_ZA
dc.subjectCommon fixed pointen_ZA
dc.subjectCyclic admissible mappingsen_ZA
dc.subjectAlmost contractionsen_ZA
dc.subjectWeakly compatible mappingsen_ZA
dc.subjectFunctional equationsen_ZA
dc.titleCommon fixed point results of generalized almost rational contraction mappings with an applicationen_ZA
dc.typeArticleen_ZA

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