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 st...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.展开更多
基金This work was supported by the National Natural Science Foundation of China(Grant No.12171435)the Natural Science Foundation of Zhejiang Province(Grant No.LY14A010011).
文摘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.