Abstract
In this paper, we introduce and study a new system of generalized mixed quasi-variational inclusions with ( A , η ) -accretive operators in q-uniformly smooth Banach spaces. By using the resolvent operator technique associated with ( A , η ) -accretive operators, we construct a new p-step iterative algorithm for solving this system of generalized mixed quasi-variational inclusions in real q-uniformly smooth Banach spaces. We also prove the existence of solutions for the generalized mixed quasi-variational inclusions and the convergence of iterative sequences generated by algorithm. Our results improve and generalize many known corresponding results.
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