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Iterative Algorithms for Nonlinear Random Operator Equations in Product Spaces

✍ 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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✦ 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.


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## 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__ βŠ‚ __X__ β†’ 2

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