Remarks on the approximation methods for nonlinear operator equations of the m-accretive type
β Scribed by Zhou Haiyun
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 68 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
It is proved that certain Mann and Ishikawa iteration procedures are stable with respect to strongly pseudo-contracti¨e mappings in real Banach spaces which are q-uniformly smooth, 1q -ϱ. A related result deals with stable iteration procedures for solutions of nonlinear equations of the accreti¨e ty
114α125 converge strongly to the solution of the equation Tx s f. Furthermore, if E is a uniformly smooth Banach space and T : E Βͺ E is demicontinuous and strongly accretive, it is also proved that both the Ishikawa and the Mann iteration methods with errors converge strongly to the solution of the