Iterative methods for nonlinear operator equations
β Scribed by A.T. Chronopoulos; Z. Zlatev
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 602 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0096-3003
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π SIMILAR VOLUMES
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
x,,, -J, m = 1, 2, 3 . . be an iteration method for solving the nonlinear problem F(X) = 0, where F(X) and its derivatives possess all of the properties required by T(x,,,). Then ifit can be established thatfor the problem at hand jlF(~,+ 1)i/ < &,, llF(x& V m > M,, (M, < co) and 0 < &,, < 1, dejini