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Chang, S. S.; Cho, Y. J.; Kim, J. K.; Zhou, H. Y.

Random Ishikawa iterative sequence with applications. (English) Zbl 1065.60084

Stochastic Anal. Appl. 23, No. 1, 69-77 (2005).
Summary: The purpose of this paper is to construct a random Ishikawa iterative sequence for a random strongly pseudo-contractive operator \(T\) in separable Banach spaces and to study that under suitable conditions this random iterative sequence converges to a random fixed point to \(T\).

Cited in 5 Documents

MSC:

60H25 Random operators and equations (aspects of stochastic analysis)
47H05 Monotone operators and generalizations
47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
49M05 Numerical methods based on necessary conditions

Keywords:

measurable function; random fixed point; random Ishikawa iterative sequence; random operator; random strongly pseudo-contractive operator
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References:

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