Convergence theorems of a general approximation method for common fixed points of a finite family of asymptotically-quasi nonexpansive mappings in Banach spaces


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.


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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


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