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

Show simple item record Hussain, Nawab Arshad, Muhammad Abbas, Mujahid Hussain, Aftab 2016-06-21T06:28:51Z 2016-06-21T06:28:51Z 2016
dc.description.abstract Recently 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.department Mathematics and Applied Mathematics en_ZA
dc.description.librarian hb2016 en_ZA
dc.description.uri en_ZA
dc.identifier.citation Hussain, 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.issn 2008-1898 (print)
dc.identifier.issn 2008-1901 (online)
dc.language.iso en en_ZA
dc.publisher International Scientific Research Publications en_ZA
dc.rights © 2016 All rights reserved. This article is published open access. en_ZA
dc.subject Coincidence point en_ZA
dc.subject Generalized dynamic process en_ZA
dc.subject (f, L)- Almost F -contraction en_ZA
dc.subject Integral equations en_ZA
dc.subject Dynamic programming en_ZA
dc.title Generalized dynamic process for generalized (f, L)-almost F-contraction with applications en_ZA
dc.type Article en_ZA

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