Approximating Curve and Strong Convergence of the CQ Algorithm for the Split Feasibility Problem
نویسندگان
چکیده
Using the idea of Tikhonov’s regularization, we present properties of the approximating curve for the split feasibility problem SFP and obtain the minimum-norm solution of SFP as the strong limit of the approximating curve. It is known that in the infinite-dimensional setting, Byrne’s CQ algorithm Byrne, 2002 has only weak convergence. We introduce a modification of Byrne’s CQ algorithm in such a way that strong convergence is guaranteed and the limit is also the minimumnorm solution of SFP.
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تاریخ انتشار 2010