Picard Iterations for Solution of Nonlinear Equations in Certain Banach Spaces
β Scribed by Chika Moore
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 83 KB
- Volume
- 245
- Category
- Article
- ISSN
- 0022-247X
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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
In this paper we prove the existence of mild solutions of a nonlinear neutral integrodifferential equation in a Banach space. The results are obtained by using the Schaefer fixed point theorem. As an application the controllability problem for the neutral system is discussed.
## 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