A GENERAL ITERATIVE SCHEME FOR FIXED POINTS OF NONLINEAR OPERATORS

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Date
2014-08
Authors
OWA, Alaba
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Abstract
This thesis examines a general iterative scheme for fixed points of nonlinear operators using the special cases of the Krasnoselskii-Mann (KM) iterative procedure for particular choices of the nonexpansive operator N. We prove many theorems and lemmas that help to see the relationship between some iterative algorithms. The iterative scheme xk+1 =Txk = (1- )xk+ Nxk has been shown to be one of the schemes that can be generally used to represent some iterative schemes for finding fixed points of nonlinear operators
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A THESIS SUBMITTED TO THE SCHOOL OF POSTGRADUATE STUDIES, AHMADU BELLO UNIVERSITY, ZARIA IN PARTIAL FULFILMENT OF THE REQUIREMENTS FOR THE AWARD OF MASTER DEGREE IN MATHEMATICS DEPARTMENT OF MATHEMATICS, FACULTY OF SCIENCE, AHMADU BELLO UNIVERSITY, ZARIA NIGERIA AUGUST, 2014
Keywords
ITERATIVE,, GENERAL,, FIXED POINTS,, NONLINEAR,, OPERATORS
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