Relaxed inertial accelerated algorithms for solving split equality feasibility problem
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Authors
Meixia Li
- School of Mathematics and Information Science, Weifang University, Weifang, 261061, China.
Xiping Kao
- College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, 266590, China.
Haitao Che
- School of Mathematics and Information Science, Weifang University, Weifang, 261061, China.
Abstract
In this paper, we study the split equality feasibility problem and present two algorithms for solving the problem with special structure. We prove the weak convergence of these algorithms under mild conditions. Especially, the selection of stepsize is only dependent on the information of current iterative points, but independent from the prior knowledge of operator norms. These algorithms provide new ideas for solving the split equality feasibility problem. Numerical results demonstrate the feasibility and effectiveness of these algorithms.
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ISRP Style
Meixia Li, Xiping Kao, Haitao Che, Relaxed inertial accelerated algorithms for solving split equality feasibility problem, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 8, 4109--4121
AMA Style
Li Meixia, Kao Xiping, Che Haitao, Relaxed inertial accelerated algorithms for solving split equality feasibility problem. J. Nonlinear Sci. Appl. (2017); 10(8):4109--4121
Chicago/Turabian Style
Li, Meixia, Kao, Xiping, Che, Haitao. "Relaxed inertial accelerated algorithms for solving split equality feasibility problem." Journal of Nonlinear Sciences and Applications, 10, no. 8 (2017): 4109--4121
Keywords
- Split equality feasibility problem
- relaxed inertial accelerated algorithm
- weak convergence
- subdifferential.
MSC
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