Let E be a real Banach space with a uniformly convex dual space E\*. Suppose Ž . T : E ª E is a continuous not necessarily Lipschitzian strongly accretive map Ž . such that I y T has bounded range, where I denotes the identity operator. It is proved that the Ishikawa iterative sequence converges str
Iterative Solution of Nonlinear Equations of the Φ-Strongly Accretive Type
✍ Scribed by M.O. Osilike
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 159 KB
- Volume
- 200
- Category
- Article
- ISSN
- 0022-247X
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✦ Synopsis
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.
📜 SIMILAR VOLUMES
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
114᎐125 converge strongly to the solution of the equation Tx s f. Furthermore, if E is a uniformly smooth Banach space and T : E ª 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