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We introduce and study a class of a system of random set-valued variational inclusionproblems. Some conditions for the existence of solutions of such problems are provided, when the operatorsare contained in the classes of generalized monotone operators, so-called (A,m,η)-monotone operator. Further,the stability of the iterative algorithm for finding a solution of the considered problem is also discussed

journal of applied mathematics

Existence and Stability of Iterative Algorithm for a System of Random Set-Valued Variational Inclusion Problems Involving (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>A</mml:mi><mml:mo>,</mml:mo><mml:mi>m</mml:mi><mml:mo>,</mml:mo><mml:mi>η</mml:mi></mml:mrow></mml:math>)-Generalized Monotone Operators

Existence and Stability of Iterative Algorithm for a System of Random Set-Valued Variational Inclusion Problems Involving (A,m,η)-Generalized Monotone Operators