Coincidence points of generalized multivalued (f, L)-almost F-contraction with applications

dc.contributor.authorAbbas, Mujahid
dc.contributor.authorAli, Basit
dc.contributor.authorRomaguera, Salvador
dc.contributor.emailmujahid.abbas@up.ac.zaen_ZA
dc.date.accessioned2016-02-25T08:21:50Z
dc.date.available2016-02-25T08:21:50Z
dc.date.issued2015
dc.description.abstractRecently Abbas [M. Abbas, Coincidence points of multivalued f−almost nonexpansive mappings, Fixed Point Theory, 13 (1) (2012), 3–10] introduced the concept of f−almost contraction which generalizes the class of multivalued almost contraction mapping and obtained coincidence point results for this new class of mappings. We extend this notion to multivalued f−almost F−contraction mappings and prove the existence of coincidence points for such mappings. As a consequence, coincidence point results are obtained for generalized multivalued f−almost F−nonexpansive mappings which assume closed values only. Related common fixed point theorems are also proved. In the last section, applications of our results in dynamic programming and integral equations to show the existence and uniqueness of solutions are obtained. We present some remarks to show that 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.librarianam2015en_ZA
dc.description.sponsorshipThe Ministry of Economy and Competitiveness of Spain, Grant MTM2012-37894-C02-01en_ZA
dc.description.urihttp://www.tjnsa.com/editors.phpen_ZA
dc.identifier.citationAbbas, M, Ali, B & Romaguera, S 2015, 'Coincidence points of generalized multivalued (f, L)-almost F-contraction with applications', Journal of Nonlinear Science and Applications, vol. 8, pp. 919-934.en_ZA
dc.identifier.issn2008-1898 (print)
dc.identifier.issn2008-1901 (online)
dc.identifier.urihttp://hdl.handle.net/2263/51548
dc.language.isoenen_ZA
dc.publisherReza Saadatien_ZA
dc.rights© 2015 All rights reserved.en_ZA
dc.subjectCoincidence pointen_ZA
dc.subjectMultivalued f-almost weak contractionen_ZA
dc.subjectStar shaped setsen_ZA
dc.subjectIntegral equationsen_ZA
dc.subjectDynamic programmingen_ZA
dc.titleCoincidence points of generalized multivalued (f, L)-almost F-contraction with applicationsen_ZA
dc.typeArticleen_ZA

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