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Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/10051

Title: Approximation methods for common fixed points of non-expansive mappings in Hilbert spaces
Authors: Gordon, Joseph Frank
Issue Date: 20-Jan-2017
Abstract: This 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.
Description: A 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, 2016
URI: http://hdl.handle.net/123456789/10051
Appears in Collections:College of Science

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