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Iterative approximation of solutions of some optimization problems in Banach spaces.

dc.contributor.advisorMewomo, Oluwatosin Temitope.
dc.contributor.authorOyewole, Olawale Kazeem.
dc.date.accessioned2023-10-31T07:03:55Z
dc.date.available2023-10-31T07:03:55Z
dc.date.created2018
dc.date.issued2018
dc.descriptionMaster’s Degree. University of KwaZulu-Natal, Durban.en_US
dc.description.abstractLet C be a nonempty closed convex subset of a q-uniformly smooth Banach space X which admits a weakly sequentially continuous generalized duality mapping. In this dissertation, we study the approximation of the zero of a strongly accretive operator A : X ! X which is also a xed point of a k-strictly pseudo-contractive self mapping T of C: Also, we introduce a U-mapping for nite family of mixed equilibrium problems involving 􀀀 relaxed monotone operators. We prove a strong convergence theorem for nding a common solution of nite family of these equilibrium problems in a uniformly smooth and strictly convex Banach space. We present some applications of this theorem and a numerical example. Furthermore, due to the faster rate of convergence of inertial type algorithm, we propose an inertial type iterative algorithm and prove a weak convergence theorem of the scheme to a solution of split variational inclusion problems involving accretive operators in Banach spaces. We give some applications and a numerical example to show the relevance of our result. Our results in this dissertation extend and improve some recent results in the literature.en_US
dc.identifier.urihttps://researchspace.ukzn.ac.za/handle/10413/22470
dc.language.isoenen_US
dc.subject.othernonempty closed convex.en_US
dc.subject.otheraccretive operator.en_US
dc.subject.otherpseudo-contractiv.en_US
dc.titleIterative approximation of solutions of some optimization problems in Banach spaces.en_US
dc.typeThesisen_US

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