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In this paper, we introduce and study a new system of generalized nonlinear variational inclusions involving generalized m -accretive mappings. By using the resolvent operator technique for generalized m -accretive mapping due to Huang and Fang [10], we also prove the existence theorems of the solution and convergence theorems of the generalized Mann iterative procedures with mixed errors for this system of variational inclusions in q -uniformly smooth Banach spaces. Mathematics subject classification (2000): 49J40, 47H19.

New iterative approximation for a system of generalized nonlinear variational inclusions with set-valued mappings in Banach spaces