Suppose that X is a uniformly smooth Banach space and T : X -X is a demicontinuous (not necessarily Lipschitz) #-strongly accretive operator. It is proved that the Ishikawa iterative method with errors converges strongly to the solutions of the equations f = TX and f = z+Tx, respectively. A related
A characterization of nonlinear φ-accretive operators
✍ Scribed by Simeon Reich
- Publisher
- Springer
- Year
- 1981
- Tongue
- English
- Weight
- 503 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0025-2611
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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.
Let X be a uniformly smooth and uniformly convex Banach space and T : D T Ž . Ž . ; X ª X be an m-accretive operator with the domain D T and the range R T . For any given f g X, we prove that the Mann and Ishikawa type iterative sequences with errors converge strongly to the unique solution of the