Iterative algorithms based on the hybrid steepest descent method for the split feasibility problem
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Authors
Jong Soo Jung
- Department of Mathematics, Dong-A University, Busan 49315, Korea.
Abstract
In this paper, we introduce two iterative algorithms based on the hybrid steepest descent method for
solving the split feasibility problem. We establish results on the strong convergence of the sequences generated by the proposed algorithms to a solution of the split feasibility problem, which is a solution of a certain
variational inequality. In particular, the minimum norm solution of the split feasibility problem is obtained.
Share and Cite
ISRP Style
Jong Soo Jung, Iterative algorithms based on the hybrid steepest descent method for the split feasibility problem, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 6, 4214--4225
AMA Style
Jung Jong Soo, Iterative algorithms based on the hybrid steepest descent method for the split feasibility problem. J. Nonlinear Sci. Appl. (2016); 9(6):4214--4225
Chicago/Turabian Style
Jung, Jong Soo. "Iterative algorithms based on the hybrid steepest descent method for the split feasibility problem." Journal of Nonlinear Sciences and Applications, 9, no. 6 (2016): 4214--4225
Keywords
- Split feasibility problem
- nonexpansive mapping
- variational inequality
- minimum-norm
- projection
- bounded linear operator
- \(\rho\)-Lipschitzian
- \(\eta\)-strongly monotone operator.
MSC
- 47J20
- 47J25
- 47J05
- 47H09
- 47H10
- 47H05
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