A New System of Set-valued Variational Inclusions Involving the Generalized H-m-η - Accretive Operators

摘要

This paper introduces and studies a new system of set-valued variational inclusions involving the generalized H-m-η-accretive operators in Banach spaces. By employing the resolvent technique for the generalized H-m-η-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.