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Iterative solutions of nonlinear equations of the accretive type

✍ Scribed by M.O. Osilike


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
92 KB
Volume
42
Category
Article
ISSN
0362-546X

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Let E be a real q-uniformly smooth Banach space. Suppose T is a strongly pseudocontractive map with open domain D(T) in E. Suppose further that T has a fixed point in D ( T ) . Under various continuity assumptions on T it is proved that each of the Mann iteration process or the Ishikawa iteration me

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ARTICLE NO. 0203 converges strongly to the unique solution of the equation Tx s f. A related result deals with the approximation of fixed points of -hemicontractive operatorsᎏa class of operators which is much more general than the important class of strongly pseudocontractive operators.