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


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


Abstract

carpathian_2017_33_3_353_363_abstract

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.

Additional Information

Author(s)

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