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Volume 2, Issue 2, 31 August 2020, Pages 187-197
Abstract. In this paper, we use the dual variable to propose a new iterative algorithm for solving the split common fixed-point problem of quasi-nonexpansive mappings in real Hilbert spaces. Under suitable conditions, we establish a weak convergence theorem of the proposed algorithm and obtain a related result for the split common fixed-point problem of firmly quasi-nonexpansive mappings. Some numerical experiments are given to illustrate the efficiency of the proposed iterative algorithm.
How to Cite this Article:
Dingfang Hou, Jing Zhao, Xinglong Wang, Weak convergence of a primal-dual algorithm for split common fixed-point problems in Hilbert spaces, J. Appl. Numer. Optim. 2 (2020), 187-197.