title: Iterative methods of strong convergence theorems for the split feasibility problem in Hilbert spaces.
abstract: In this paper, we propose several new iterative algorithms to solve the split feasibility problem in the Hilbert spaces. By virtue of new analytical techniques, we prove that the iterative sequence generated by these iterative procedures converges to the solution of the split feasibility problem which is the best close to a given point. In particular, the minimum-norm solution can be found via our iteration method.
authors.affiliation: Department of Mathematics, Nanchang University, Nanchang, 330031 China.
authors.forename: Yuchao
authors.initials: Y
authors.lastname: Tang
authors.affiliation: Department of Mathematics, Nanchang University, Nanchang, 330031 China.
authors.forename: Liwei
authors.initials: L
authors.lastname: Liu
keywords: split feasibility problem; strong convergence; the best approximation