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dc.contributor.advisorMewomo, Oluwatosin Tope.
dc.creatorChinedu, Izuchukwu.
dc.date.accessioned2018-11-16T07:46:01Z
dc.date.available2018-11-16T07:46:01Z
dc.date.created2017
dc.date.issued2017
dc.identifier.urihttp://hdl.handle.net/10413/15845
dc.descriptionMaster of Science in Mathematics, Statistics and Computer Science. University of KwaZulu-Natal, Durban, 2017.en_US
dc.description.abstractIn this work, we introduce and study an iterative algorithm independent of the operator norm for approximating a common solution of split equality variational inequality prob- lem and split equality xed point problem. Using our algorithm, we state and prove a strong convergence theorem for approximating an element in the intersection of the set of solutions of a split equality variational inequality problem and the set of solutions of a split equality xed point problem for demicontractive mappings in real Hilbert spaces. We then considered nite families of split equality variational inequality problems and proposed an iterative algorithm for approximating a common solution of this problem and the multiple-sets split equality xed point problem for countable families of multivalued type-one demicontractive-type mappings in real Hilbert spaces. A strong convergence re- sult of the sequence generated by our proposed algorithm to a solution of this problem was also established. We further extend our study from the frame work of real Hilbert spaces to more general p-uniformly convex Banach spaces which are also uniformly smooth. In this space, we introduce an iterative algorithm and prove a strong convergence theorem for approximating a common solution of split equality monotone inclusion problem and split equality xed point problem for right Bregman strongly nonexpansive mappings. Finally, we presented numerical examples of our theorems and applied our results to study the convex minimization problems and equilibrium problems.en_US
dc.language.isoen_ZAen_US
dc.subjectTheses - Mathematics, Statistics and Computer Science.en_US
dc.subject.otherIterative algorithms.en_US
dc.subject.otherTheorems.en_US
dc.subject.otherHilbert spaces.en_US
dc.subject.otherBanach space.en_US
dc.subject.otherVariational inequality problems.en_US
dc.titleIterative algorithms for approximating solutions of variational inequality problems and monotone inclusion problems.en_US
dc.typeThesisen_US


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