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

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dc.contributor.authorMalonza, D. M.
dc.contributor.authorOfoedu, E. U.
dc.date.accessioned2014-08-01T12:03:24Z
dc.date.available2014-08-01T12:03:24Z
dc.date.issued2011-03-01
dc.descriptionDOI: 10.1016/j.amc.2010.12.073en_US
dc.description.abstractIn 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.identifier.citationApplied Mathematics and Computation Volume 217, Issue 13, 1 March 2011, Pages 6019–6030en_US
dc.identifier.issn0096-3003
dc.identifier.urihttp://users.ictp.it/~pub_off/preprints-sources/2010/IC2010051P.pdf
dc.identifier.urihttp://ir-library.ku.ac.ke/handle/123456789/10833
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.subjectFixed point problemsen_US
dc.subjectGeneralized mixed equilibrium problemen_US
dc.subjectHammerstein equationsen_US
dc.subjectMonotone operatorsen_US
dc.subjectUniformly convex and uniformly smooth Banach spacesen_US
dc.subjectWeak relatively nonexpansive mappingsen_US
dc.titleHybrid approximation of solutions of nonlinear operator equations and application to equation of Hammerstein-typeen_US
dc.typeArticleen_US
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