Existence and stability of iterative algorithm for a system of random set-valued variational inclusion problems involving \((A, m, \eta)\)-generalized monotone operators. (English) Zbl 1366.47031
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.
MSC:
| 47J25 | Iterative procedures involving nonlinear operators |
| 47J22 | Variational and other types of inclusions |
| 47H05 | Monotone operators and generalizations |
Keywords:
random set-valued variational inclusion problems; generalized monotone operators; stability; iterative algorithmReferences:
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