Mann-type Iterative Algorithm for Generalized Variational Inclusions Involving A-accretive Operator
Zhao Sheng-li · Journal of Logistical Engineering University · 2009
By studying the properties of A-accretive operator,the author extends the concept of resolvent operator associated with the H -accretive operator to the new A-accretive operator.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.Finally,the existence and uniqueness of the new class of generalized variational inclusions are proved and the convergence criteria of the iterative sequences generated by the Mann-type iterative algorithm is discussed.