Let E be a real uniformly smooth Banach space and T : E ยช E a strong pseudocontraction with a bounded range. We prove that the Mann and Ishikawa iteration procedures are T-stable. Some related results deal with the stability of these procedures for the iteration approximation of solutions of nonline
Iterative Methods for Nonlinear Lipschitz Pseudocontractive Operators
โ Scribed by C.E Chidume
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 79 KB
- Volume
- 251
- Category
- Article
- ISSN
- 0022-247X
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๐ SIMILAR VOLUMES
Let E be a real Banach space with a uniformly convex dual space E\*. Suppose ลฝ . T : E ยช E is a continuous not necessarily Lipschitzian strongly accretive map ลฝ . such that I y T has bounded range, where I denotes the identity operator. It is proved that the Ishikawa iterative sequence converges str
We extend a result of Nashed and Engl (1979) on fixed points of nonlinear random operators by using iterative methods to the case of nonlinear random operators on product spaces. The obtained result in a way is a probabilistic (stochastic) version of the deterministic fixed point theorems in product