Iterative approximation of solutions of some optimization problems in Banach spaces.
| dc.contributor.advisor | Mewomo, Oluwatosin Temitope. | |
| dc.contributor.author | Oyewole, Olawale Kazeem. | |
| dc.date.accessioned | 2023-10-31T07:03:55Z | |
| dc.date.available | 2023-10-31T07:03:55Z | |
| dc.date.created | 2018 | |
| dc.date.issued | 2018 | |
| dc.description | Master’s Degree. University of KwaZulu-Natal, Durban. | en_US |
| dc.description.abstract | Let 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.uri | https://researchspace.ukzn.ac.za/handle/10413/22470 | |
| dc.language.iso | en | en_US |
| dc.subject.other | nonempty closed convex. | en_US |
| dc.subject.other | accretive operator. | en_US |
| dc.subject.other | pseudo-contractiv. | en_US |
| dc.title | Iterative approximation of solutions of some optimization problems in Banach spaces. | en_US |
| dc.type | Thesis | en_US |