Ishikawa and Mann Iterative Processes with Errors for Nonlinear Strongly Accretive Operator Equations
β Scribed by Yuguang Xu
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 140 KB
- Volume
- 224
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
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
## Abstract The concept of the operators of generalized monotone type is introduced and iterative approximation methods for a fixed point of such operators by the Ishikawa and Mann iteration schemes {xn} and {yn} with errors is studied. Let __X__ be a real Banach space and __T__ : __D__ β __X__ β 2