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

We introduce and study a class of new general systems of set-valued variational inclusions involving (a,η) -maximal relaxed monotone operators in hilbert spaces. by using the general resolvent operator technique associated with (a,η) -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. © 2014 ting-jian xiong and heng-you lan.