A new system of set-valued variational inclusions involving the generalized H-m-?-accretive operators

Abstract

This paper introduces and studies a new system of set-valued variational inclusions involving the generalized H-m-?-accretive operators in Banach spaces. By employing the resolvent technique for the generalized H-m-?-accretive operator, we construct some iterative algorithms for finding solutions of the new system of set-valued variational inclusions in Banach spaces. Moreover, we obtain the existence of solutions for the system of set-valued variational inclusions and the convergence of the sequences generated by the iterative algorithms.