Iterative algorithms for new general systems of set-valued variational inclusions involving \((A, \eta)\)-maximal relaxed monotone operators (Q2336644)

Summary: We introduce and study a class of new general systems of set-valued variational inclusions involving \((A, \eta)\)-maximal relaxed monotone operators in Hilbert spaces. By using the general resolvent operator technique associated with \((A, \eta)\)-maximal relaxed monotone operators, we construct some new iterative algorithms for finding approximation solutions to the general system of set-valued variational inclusion problem and prove the convergence of this algorithm. Our results improve and extend some known results.