Journal
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION
Volume 40, Issue 8, Pages 902-923Publisher
TAYLOR & FRANCIS INC
DOI: 10.1080/01630563.2018.1564763
Keywords
Iterative algorithms; split feasibility problems; Strong convergence; variational inequalities; viscosity approximation
Categories
Funding
- Financial Funds for the Central Universities [3122018L004]
- scientific research project of Tianjin Municipal Education Commission [2018KJ253]
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Strong convergence theorem of viscosity approximation methods for nonexpansive mapping have been studied. We also know that CQ algorithm for solving the split feasibility problem (SFP) has a weak convergence result. In this paper, we use viscosity approximation methods and some related knowledge to solve a class of generalized SFP's with monotone variational inequalities in Hilbert space. We propose some iterative algorithms based on viscosity approximation methods and get strong convergence theorems. As applications, we can use algorithms we proposed for solving split variational inequality problems (SVIP), split constrained convex minimization problems and some related problems in Hilbert space.
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