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Existence and stability of iterative algorithm for a system of random set-valued variational inclusion problems involving \((A, m, \eta)\)-generalized monotone operators - MaRDI portal

Existence and stability of iterative algorithm for a system of random set-valued variational inclusion problems involving \((A, m, \eta)\)-generalized monotone operators (Q442975)

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scientific article; zbMATH DE number 6063428
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English
Existence and stability of iterative algorithm for a system of random set-valued variational inclusion problems involving \((A, m, \eta)\)-generalized monotone operators
scientific article; zbMATH DE number 6063428

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    Existence and stability of iterative algorithm for a system of random set-valued variational inclusion problems involving \((A, m, \eta)\)-generalized monotone operators (English)
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    6 August 2012
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    Summary: We introduce and study a class of a system of random set-valued variational inclusion problems. Some conditions for the existence of solutions of such problems are provided, when the operators are contained in the classes of generalized monotone operators, so-called \((A, m, \eta)\)-monotone operator. Further, the stability of the iterative algorithm for finding a solution of the considered problem is also discussed.
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    random set-valued variational inclusion problems
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    generalized monotone operators
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    stability
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    iterative algorithm
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