Error bounds of Newton type process on Banach spaces
β Scribed by Hang-Chin Lai; Pou-Yah Wu
- Publisher
- Springer-Verlag
- Year
- 1982
- Tongue
- English
- Weight
- 645 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0029-599X
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π SIMILAR VOLUMES
## 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
We provide two types of semilocal convergence theorems for approximating a solution of an equation in a Banach space setting using an inexact Newton method [I.K. Argyros, Relation between forcing sequences and inexact Newton iterates in Banach spaces, Computing 63 (2) (1999) 134-144; I.K. Argyros, A