**Volume 10, Issue 8, pp 4099--4108**

**Publication Date**: 2017-08-07

http://dx.doi.org/10.22436/jnsa.010.08.06

Hengjun Zhao - School of Science, Henan University of Engineering, Zhengzhou 451191, China.

Sun Young Cho - Center for General Education, China Medical University, Taichung, Taiwan.

In this paper, an iterative algorithm investigated for \(m\)-accretive and inverse-strongly accretive operators. Also, a weak convergence theorem for the sum of two accretive operators is established in a real uniformly convex and \(q\)-uniformly smooth Banach space.

Accretive operator, zero point, projection, splitting method, weak convergence.

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