Volume 35 • Number 1 • 2012   • A New System of Nonlinear Variational Inclusions with $(A_i,\eta_i) $-Accretive Operators in Banach Spaces Fengrong Zhang, Zeqing Liu, Shin Min Kang and Young Chel Kwun Abstract. In this paper, we introduce and study a new system of nonlinear variational inclusions with $(A,\eta)$-accretive operators in Banach spaces. Using the resolvent operator technique associated with $(A,\eta)$-accretive operator, we prove the existence and uniqueness of solutions for the system of nonlinear variational inclusions, construct a Mann iterative algorithm with errors for solving the system of nonlinear variational inclusions and discuss the convergence of the iterative sequence generated by the algorithm. 2010 Mathematics Subject Classification: 47J20, 49J40. Full text: PDF