Applications of Mann's method to the split common fixed point problem
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Authors
Youli Yu
- School of Mathematics and Information Engineering, Taizhou University, Linhai 317000, China.
Zhangsong Yao
- School of Information Engineering, Nanjing Xiaozhuang University, Nanjing 211171, China.
Yaqin Wang
- Department of Mathematics, Shaoxing University, Shaoxing 312000, China.
Xiaoli Fang
- Department of Mathematics, Shaoxing University, Shaoxing 312000, China.
Abstract
In the present paper, we suggest a new fixed point method for solving the split common fixed point problem of directed
operators. We present an iterative algorithm based on Mann’s method. We prove that the presented algorithm converges weakly
to a solution of the split common fixed point problem of directed operators.
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ISRP Style
Youli Yu, Zhangsong Yao, Yaqin Wang, Xiaoli Fang, Applications of Mann's method to the split common fixed point problem, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 3, 1195--1200
AMA Style
Yu Youli, Yao Zhangsong, Wang Yaqin, Fang Xiaoli, Applications of Mann's method to the split common fixed point problem. J. Nonlinear Sci. Appl. (2017); 10(3):1195--1200
Chicago/Turabian Style
Yu, Youli, Yao, Zhangsong, Wang, Yaqin, Fang, Xiaoli. "Applications of Mann's method to the split common fixed point problem." Journal of Nonlinear Sciences and Applications, 10, no. 3 (2017): 1195--1200
Keywords
- Split common fixed point problem
- directed operator
- weak convergence.
MSC
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