Solving variational inequality and split equality common fixed-point problem without prior knowledge of operator norms
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Authors
Jing Zhao
- College of Science, Civil Aviation University of China, Tianjin, 300300, P. R. China.
Haili Zong
- College of Science, Civil Aviation University of China, Tianjin, 300300, P. R. China.
Guangxuan Liu
- College of Science, Civil Aviation University of China, Tianjin, 300300, P. R. China.
Hang Zhang
- College of Science, Civil Aviation University of China, Tianjin, 300300, P. R. China.
Abstract
In this paper, we introduce a viscosity iterative algorithm for finding common solution of variational
inequality for Lipschitzian and strongly monotone operators and the split equality common fixed-point
problem for firmly quasi-nonexpansive operators. We prove the strong convergence of the proposed algorithm
which does not need any prior information about the bounded linear operator norms.
Share and Cite
ISRP Style
Jing Zhao, Haili Zong, Guangxuan Liu, Hang Zhang, Solving variational inequality and split equality common fixed-point problem without prior knowledge of operator norms, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 9, 5428--5440
AMA Style
Zhao Jing, Zong Haili, Liu Guangxuan, Zhang Hang, Solving variational inequality and split equality common fixed-point problem without prior knowledge of operator norms. J. Nonlinear Sci. Appl. (2016); 9(9):5428--5440
Chicago/Turabian Style
Zhao, Jing, Zong, Haili, Liu, Guangxuan, Zhang, Hang. "Solving variational inequality and split equality common fixed-point problem without prior knowledge of operator norms." Journal of Nonlinear Sciences and Applications, 9, no. 9 (2016): 5428--5440
Keywords
- Split equality problem
- firmly quasi-nonexpansive operators
- strong convergence
- viscosity iterative algorithm
- Hilbert space.
MSC
References
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