Cyclic hybrid methods for finding common fixed points of a finite family of nonexpansive mappings


Authors

Qiao-Li 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. Yan-Yan 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.


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