1. College of Mathematics and Computer Science, Zhejiang Normal University, Jinhua 321004, China2. Department of Basic Teaching, Zhejiang University of Water Resources and Electric Power, Hangzhou 310018, China
Abstract:
In this paper, we study a modified implicit rule for finding a solution of split common fixed point problem of a Bregman quasi-nonexpansive mapping in Banach spaces. We propose a new iterative algorithm and prove the strong convergence theorem under appropriate conditions. As an application, the results are applied to solving the zero problem and the equilibrium problem.