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
Iterative Solution of Nonlinear Equations with Strongly Accretive Operators
β Scribed by C.E. Chidume
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 570 KB
- Volume
- 192
- Category
- Article
- ISSN
- 0022-247X
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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 operatorsαa class of operators which is much more general than the important class of strongly pseudocontractive operators.
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
Let X be a uniformly smooth and uniformly convex Banach space and T : D T Ε½ . Ε½ . ; X Βͺ 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