Cyclic hybrid methods for finding common fixed points of a finite family of nonexpansive mappings
Authors
QiaoLi Dong
 College of Science, Civil Aviation University of China, Tianjin 300300, China.
 Tianjin Key Lab for Advanced Signal Processing, Civil Aviation University of China, Tianjin 300300, China.
YanYan Lu
 College of Science, Civil Aviation University of China, Tianjin 300300, China.
Jinfeng Yang
 Tianjin Key Lab for Advanced Signal Processing, Civil Aviation University of China, Tianjin 300300, China.
Abstract
In this paper, we propose a cyclic hybrid method for computing a common fixed point of a finite family
of nonexpansive mappings. The strong convergence of the method is established. Numerical examples
illustrate that the proposed method has an advantage in computing.
Keywords
 Common fixed point
 hybrid method
 cyclic computation
 nonexpansive mapping.
MSC
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