A GENERAL ITERATIVE SCHEME FOR FIXED POINTS OF NONLINEAR OPERATORS
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
Description
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