A Modified Halpern′s Iterative Scheme for Solving Split Feasibility Problems
Copyright policy )A Modified Halpern′s Iterative Scheme for Solving Split Feasibility Problems
The purpose of this paper is to introduce and study a modified Halpern’s iterative scheme for solving the split feasibility problem (SFP) in the setting of infinite‐dimensional Hilbert spaces. Under suitable conditions a strong convergence theorem is established. The main result presented in this paper improves and extends some recent results done by Xu (Iterative methods for the split feasibility problem in infinite‐dimensional Hilbert space, Inverse Problem 26 (2010) 105018) and some others.
Inverse problems in optimal control, Iterative procedures involving nonlinear operators, Halpern's iterative scheme, QA1-939, Nonlinear ill-posed problems, Numerical solution to inverse problems in abstract spaces, split feasibility problem, Mathematics
Inverse problems in optimal control, Iterative procedures involving nonlinear operators, Halpern's iterative scheme, QA1-939, Nonlinear ill-posed problems, Numerical solution to inverse problems in abstract spaces, split feasibility problem, Mathematics
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