A forward-backward iterative method for zero points of sum of two accretive operators

Qin, Xiaolong, Ansari, Qamrul Hasan and Yao, Jen-Chih



In this paper, we study a zero point problem of the sum of two accretive operators based on a viscosity forward-backward iterative algorithm with computational errors. Strong convergence results are established in the framework of $q$-uniformly smooth Banach spaces. We also apply the strong convergence results to solve variational inequality problems, convex minimization problems and fixed point problems.

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Ansari, Qamrul Hasan, Qin, Xiaolong, Yao, Jen-Chih