## Li Wei, Yanwei Shen, Yaqin Zheng, Ruilin Tan, A new iterative scheme for the sum of infinite m-accretive mappings and inversely strongly accretive mappings and its applications

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Volume 1, Issue 3, 1 December 2017, Pages 345-356

Abstract. In this paper, a new iterative scheme for approximating zero points of the sum of infinite m-accretive mappings and $\mu_i$-inversely strongly accretive mappings in Hilbert spaces is presented. A strong convergence theorem is established. Computational experiments are conducted to verify the effectiveness of the iterative scheme. The applications of the new iterative scheme to nonlinear $p_i$-Laplacian parabolic and elliptic systems are demonstrated.