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

Ofoedu, Eric U.; Malonza, David M.

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