Iterative Algorithms for Nonlinear Random Operator Equations in Product Spaces
β Scribed by R.U. Verma
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 157 KB
- Volume
- 190
- Category
- Article
- ISSN
- 0022-247X
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β¦ Synopsis
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 spaces by Kirk (1989), Kirk and Sternfeld (1984), Kirk and Yanez (1988), Tan and Xu ( 1991 ), and others. 1995 Academic Press. Inc.
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
Let X be a uniformly smooth Banach space and T : X Βͺ X a strongly accretive operator. In this paper, we give the error bounds for the approximation solutions of the nonlinear equation Tx s f generated by both the Mann and the Ishikawa iteration process. On the other hand, let K be a nonempty convex