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Implicit iterative algorithms of the split common fixed point problem for Bregman quasi-nonexpansive mapping in Banach spaces |
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| Authors: | Yuanheng WANG Chanjuan PAN |
| Affiliation: | 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. |
| Keywords: | Split common fixed point implicit rule Bregman quasi-nonexpansive mapping strong convergence Banach space |
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