Composite relaxed extragradient method for triple hierarchical variational inequalities with constraints of systems of variational inequalities
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Authors
Lu-Chuan Ceng
- Department of Mathematics, Shanghai Normal University; and Scientific Computing Key Laboratory of Shanghai Universities, Shanghai 200234, China.
Yeong-Cheng Liou
- Department of Healthcare Administration and Medical Informatics, and Research Center of Nonlinear Analysis and Optimization, Kaohsiung Medical University, Kaohsiung 807, Taiwan.
- Department of Medical Research, Kaohsiung Medical University Hospital, Kaohsiung 807, Taiwan.
Ching-Feng Wen
- Center for General Education; and Research Center for Nonlinear Analysis and Optimization, Kaohsiung Medical University, Kaohsiung 807, Taiwan.
Abstract
In this paper, we introduce and analyze a composite relaxed extragradient viscosity algorithm for solving the triple hierarchical
variational inequality problem with the constraint of general system of variational inequalities in a real Hilbert space.
Strong convergence of the iteration sequences generated by the algorithm is established under some suitable conditions. Our
results improve and extend the corresponding results in the earlier and recent literature.
Share and Cite
ISRP Style
Lu-Chuan Ceng, Yeong-Cheng Liou, Ching-Feng Wen, Composite relaxed extragradient method for triple hierarchical variational inequalities with constraints of systems of variational inequalities, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 4, 2018--2039
AMA Style
Ceng Lu-Chuan, Liou Yeong-Cheng, Wen Ching-Feng, Composite relaxed extragradient method for triple hierarchical variational inequalities with constraints of systems of variational inequalities. J. Nonlinear Sci. Appl. (2017); 10(4):2018--2039
Chicago/Turabian Style
Ceng, Lu-Chuan, Liou, Yeong-Cheng, Wen, Ching-Feng. "Composite relaxed extragradient method for triple hierarchical variational inequalities with constraints of systems of variational inequalities." Journal of Nonlinear Sciences and Applications, 10, no. 4 (2017): 2018--2039
Keywords
- Composite relaxed extragradient algorithm
- triple hierarchical variational inequality
- general system of variational inequalities
- inverse-strongly monotone mapping.
MSC
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