Generalized dynamic process for generalized (f, L)-almost F-contraction with applications

dc.contributor.authorHussain, Nawab
dc.contributor.authorArshad, Muhammad
dc.contributor.authorAbbas, Mujahid
dc.contributor.authorHussain, Aftab
dc.contributor.emailmujahid.abbas@up.ac.zaen_ZA
dc.date.accessioned2016-06-21T06:28:51Z
dc.date.available2016-06-21T06:28:51Z
dc.date.issued2016
dc.description.abstractRecently Abbas [M. Abbas, Fixed Point Theory, 13 (2012), 3{10] introduced the concept of f - almost contraction which in turn extended the class of multivalued almost contraction mapping and obtained co- incidence point results for this new class of mappings. The aim of this paper is to introduce the notion of dynamic process for generalized (f ,L) - almost F - contraction mappings and to obtain coincidence and common xed point results for such process. It is worth mentioning that our results do not rely on the com- monly used range inclusion condition. We provide some examples to support our results. As an application of our results, we obtain the existence and uniqueness of solutions of dynamic programming and integral equations. Our results provide extension as well as substantial generalizations and improvements of several well known results in the existing comparable literature.en_ZA
dc.description.departmentMathematics and Applied Mathematicsen_ZA
dc.description.librarianhb2016en_ZA
dc.description.urihttp://www.tjnsa.comen_ZA
dc.identifier.citationHussain, N, Arshad, M, Abbas, M & Hussain, A 2016, 'Generalized dynamic process for generalized (f, L)-almost F-contraction with applications', Journal of Nonlinear Science and Applications, vol. 9, pp. 1702-1715.en_ZA
dc.identifier.issn2008-1898 (print)
dc.identifier.issn2008-1901 (online)
dc.identifier.urihttp://hdl.handle.net/2263/53273
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.subjectCoincidence pointen_ZA
dc.subjectGeneralized dynamic processen_ZA
dc.subject(f, L)- Almost F -contractionen_ZA
dc.subjectIntegral equationsen_ZA
dc.subjectDynamic programmingen_ZA
dc.titleGeneralized dynamic process for generalized (f, L)-almost F-contraction with applicationsen_ZA
dc.typeArticleen_ZA

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