On a new system of generalized mixed quasi-variational-like inclusions with image-accretive operators in real image-uniformly smooth Banach spaces Original Research Article

In this paper, we introduce and study a new system of generalized mixed quasi-variational-like inclusions with (H,η)(H,η)-accretive operators which contains variational inequalities, variational inclusions, systems of variational inequalities and systems of variational inclusions in the literature as special cases. By using the resolvent technique for the (H,η)(H,η)-accretive operators, we prove the existence of solutions and the convergence of a new pp-step iterative algorithm for this system of generalized mixed quasi-variational-like inclusions in real qq-uniformly smooth Banach spaces. The results in this paper unify, extend and improve some known results from the literature.