A system of generalized resolvent equations involving generalized pseudocontractive mapping

In this paper, we consider a system of generalized resolvent equations involving generalized pseudocontractive mapping with corresponding system of variational inclusions in real Banach spaces. We establish an equivalence between the system of generalized resolvent equations and the system of variational inclusions using the concept of H(.,.)-co-accretive mapping. Furthermore, we prove the existence of solution of system of generalized resolvent equations and discuss the convergence of iterative sequences generated by the proposed algorithm.