Hybrid approximation of solutions of nonlinear operator equations and application to equation of hammerstein-type

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dc.contributor.author Ofoedu, Eric U.
dc.contributor.author Malonza, David M.
dc.date.accessioned 2025-07-10T10:21:26Z
dc.date.available 2025-07-10T10:21:26Z
dc.date.issued 2011-03-01
dc.identifier.citation Applied mathematics and computation, volume 217, issue 13, Pages 6019-6030, March 2011 en_US
dc.identifier.issn 1873-5649
dc.identifier.uri https://d1wqtxts1xzle7.cloudfront.net/47666619/j.amc.2010.12.07320160731-19989-1tbutfj-libre.pdf?1469963428=&response-content-disposition=inline%3B+filename%3DHybrid_approximation_of_solutions_of_non.pdf&Expires=1752146055&Signature=TzXf6LOOq3ECTVrJXpondlhz-cdcYroPufUdOGBjG~QAJsezacpRIJfPS23iOdZLdnIL1zUtI4SkgHCuVwyyMz9OfMdeMOKUkwEakMW7F1omdtM97NGDUS8HyQx-fSupPiqucUKb2ZA12YrpfOU7Ug7IIfF7vi~l-LiREP30Bb2nGEtN0tVQZ3ODCrwkLe5Mw7tlgFDr8QtTfA0SkH2bEhyr4QmXWnAEWcNwiBe89KyjFhkmq3oqDUhJoPt3XwEDloXg1UT~MKeg2704Lf1ZGWbEHDGnxxIFYroVj-s52kq~uUnViHd6wkQwmECgZtkby1yIEGS~2U9Ra~DzEpVeKg__&Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA
dc.identifier.uri http://repository.seku.ac.ke/xmlui/handle/123456789/8107
dc.description https://doi.org/10.1016/j.amc.2010.12.073 en_US
dc.description.abstract In this paper we study hybrid iterative scheme for finding a common element of set of solutions of generalized mixed equilibrium problem, set of common fixed points of finite family of weak relatively nonexpansive mapping and null spaces of finite family of γ-inverse strongly monotone mappings in a 2-uniformly convex and uniformly smooth real Banach space. Our results extend, improve and generalize the results of several authors which are announced recently. Application of our theorem to solution of equations of Hammerstein-type is of independent interest. en_US
dc.language.iso en en_US
dc.publisher Elsevier en_US
dc.subject Fixed point problems en_US
dc.subject Generalized mixed equilibrium problem en_US
dc.subject Hammerstein equations en_US
dc.subject Monotone operators en_US
dc.subject Uniformly convex and uniformly smooth en_US
dc.subject Banach spaces en_US
dc.subject Weak relatively nonexpansive mappings en_US
dc.title Hybrid approximation of solutions of nonlinear operator equations and application to equation of hammerstein-type en_US
dc.type Article en_US


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