Random Ishikawa iterative sequence with applications. (English) Zbl 1065.60084
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 \(T\).
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 operatorReferences:
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