The convergence of a new iteration process for the solution of nonlinear functional equations in banach space
β Scribed by D. K. Lika
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1968
- Tongue
- English
- Weight
- 299 KB
- Volume
- 4
- Category
- Article
- ISSN
- 0001-4346
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
strong pseudocontraction with an open domain D T in E and a fixed point Ε½ . x\* g D T . We establish the strong convergence of the Mann and Ishikawa Ε½ . iterative processes with errors to the fixed point of T. Related results deal with the iterative solution of operator equations of the forms f g T
The purpose of this work is to study the following implicit iteration scheme where T n = T nmodN , and to prove several strongly convergent theorems of the iteration for a finite family of hemicontractive mappings in Banach space. Our results extend a recent result of Haiyun Zhou [Haiyun Zhou, Conv
## 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