Convergence theorems of a general approximation method for common fixed points of a finite family of asymptotically-quasi nonexpansive mappings in Banach spaces
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Authors
Qiao-Li Dong
- College of Science, Civil Aviation University of China, Tianjin 300300, China.
Songnian He
- College of Science, Civil Aviation University of China, Tianjin 300300, China.
Bin-Chao Deng
- Technical economy and management specialty, School of Management, Tianjin University, Tianjin 300072, China.
Abstract
In this paper, we consider a general iterative scheme to approximate a common fixed point for a finite family
of asymptotically quasi-nonexpansive mappings. Several strong and weak convergence results are presented
in Banach spaces and an finite family of asymptotically quasi-nonexpansive mappings is constructed. Our
results generalize and extend many known results in the current literature.
Share and Cite
ISRP Style
Qiao-Li Dong, Songnian He, Bin-Chao Deng, Convergence theorems of a general approximation method for common fixed points of a finite family of asymptotically-quasi nonexpansive mappings in Banach spaces, Journal of Nonlinear Sciences and Applications, 5 (2012), no. 3, 232--242
AMA Style
Dong Qiao-Li, He Songnian, Deng Bin-Chao, Convergence theorems of a general approximation method for common fixed points of a finite family of asymptotically-quasi nonexpansive mappings in Banach spaces. J. Nonlinear Sci. Appl. (2012); 5(3):232--242
Chicago/Turabian Style
Dong, Qiao-Li, He, Songnian, Deng, Bin-Chao. "Convergence theorems of a general approximation method for common fixed points of a finite family of asymptotically-quasi nonexpansive mappings in Banach spaces." Journal of Nonlinear Sciences and Applications, 5, no. 3 (2012): 232--242
Keywords
- Modified Mann and Ishikawa iterations
- Asymptotically quasi-nonexpansive mappings
- Common fixed points
- Weak and strong convergence
- Uniformly convex Banach spaces.
MSC
References
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