The strong convergence theorems for split common fixed point problem ofasymptotically nonexpansive mappings in Hilbert spaces

被引：0
作者：
Xin-Fang Zhang
Lin Wang
Zhao Li Ma
Li Juan Qin
机构：
[1] Yunnan University of Finance and Economics,College of Statistics and Mathematics
[2] The College of Arts and Sciences,School of Information Engineering
[3] Yunnan NormalUniversity,Department of Mathematics
[4] Kunming University,undefined
来源：
Journal of Inequalities and Applications | / 2015卷
关键词：
split common fixed point problem; asymptotically nonexpansive mapping; strong convergence; Hilbert space; algorithm;
D O I：
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摘要：
In this paper, an iterative algorithm is introduced to solve the split common fixedpoint problem for asymptotically nonexpansive mappings in Hilbert spaces. Theiterative algorithm presented in this paper is shown to possess strong convergencefor the split common fixed point problem of asymptotically nonexpansive mappingsalthough the mappings do not have semi-compactness. Our results improve and developprevious methods for solving the split common fixed point problem.
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