Furthermore the author considers a new class of generalized variational inclusions involving A-accretive operator and proposes a Mann-type iterative algorithm for approximating the solution of this class of generalized variational inclusions by using the resolvent operator technique for A-accretive operator.

Suppose that {an} is chosen in such a way that δ≤an≤1-δ for all n,where δ∈(0,1) is a small enough constant,then for arbitrary x0∈K,the sequence {xn} given by the Mann type implicit iteration process xn=anxn-1+(1-an)Tnxn(n>0) weakly converges to the fixed point of T.

Mann-Iterative Algorithm for a System of Nonlinear Variationat-Like Inequalities;

On the Mann-type iteration method for solutions to varational inclusion problems with strongly accretive-type mappings;

Next, some Mann type iterative ap-proximation sequences with errors for these nonoscillatory solutionsare constructed and the error estimates between the approximate so-lutions and the nonoscillatory solutions are also discussed.