Approximation methods for common fixed points of non-expansive mappings in Hilbert spaces

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dc.contributor.authorGordon, Joseph Frank
dc.date.accessioned2017-01-20T09:28:06Z
dc.date.accessioned2023-04-18T22:18:01Z
dc.date.available2017-01-20T09:28:06Z
dc.date.available2023-04-18T22:18:01Z
dc.date.issuedOctober 11, 2016
dc.descriptionA thesis submitted to the Department of Mathematics, Kwame Nkrumah University of Science and Technology in partial fulfillment of the requirement for the degree of Master of Philosophy in Pure Mathematics.en_US
dc.description.abstractThis thesis is an extensive exposition and review of the paper "Approximation methods of common fixed point of non-expansive mappings in a Hilbert space" in which the author, Paul- Emile Mainge proposed two numerical approaches to solving this problem by implicit and explicit viscosity like-methods. The study as obtain in the thesis was the strong convergence results of the implicit anchor-like algorithm and the explicit procedure for approximating the common fixed point of countable infinite family of non-expansive self-mappings. This thesis basically details the proofs of the main theorem of Paul’s paper as well as detailed exposition of the mathematics involved in it. Detailed proofs of subsidiary results leading up to the proof of the main theorem of Paul’s paper are also discussed. Finally, the main theorem of the paper is also demonstrated in a series of lemmas.en_US
dc.description.sponsorshipKNUSTen_US
dc.identifier.urihttps://ir.knust.edu.gh/handle/123456789/10051
dc.language.isoenen_US
dc.titleApproximation methods for common fixed points of non-expansive mappings in Hilbert spacesen_US
dc.typeThesisen_US
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