**Volume 10, Issue 8, pp 4109--4121**

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

http://dx.doi.org/10.22436/jnsa.010.08.07

Meixia Li - School of Mathematics and Information Science, Weifang University, Weifang, 261061, China.

Xiping Kao - College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, 266590, China.

Haitao Che - School of Mathematics and Information Science, Weifang University, Weifang, 261061, China.

In this paper, we study the split equality feasibility problem and present two algorithms for solving the problem with special structure. We prove the weak convergence of these algorithms under mild conditions. Especially, the selection of stepsize is only dependent on the information of current iterative points, but independent from the prior knowledge of operator norms. These algorithms provide new ideas for solving the split equality feasibility problem. Numerical results demonstrate the feasibility and effectiveness of these algorithms.

Split equality feasibility problem, relaxed inertial accelerated algorithm, weak convergence, subdifferential.

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