Iterative Solutions to Nonlinear Equations of Strongly Accretive Operators in Banach Spaces
β Scribed by K.K. Tan; H.K. Xu
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 392 KB
- Volume
- 178
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
Let X be a uniformly smooth Banach space and T : X Βͺ X a strongly accretive operator. In this paper, we give the error bounds for the approximation solutions of the nonlinear equation Tx s f generated by both the Mann and the Ishikawa iteration process. On the other hand, let K be a nonempty convex
Let E be a real Banach space with a uniformly convex dual space E\*. Suppose Ε½ . T : E Βͺ E is a continuous not necessarily Lipschitzian strongly accretive map Ε½ . such that I y T has bounded range, where I denotes the identity operator. It is proved that the Ishikawa iterative sequence converges str
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 operatorsαa class of operators which is much more general than the important class of strongly pseudocontractive operators.