NEW ITERATIVE METHODS OFKRASNOSEL’SKII-MANN TYPE FOR THEMULTIPLE-SETS SPLIT FEASIBILITYPROBLEM
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Abstract
In this paper, for solving the multiple-sets split feasibility problem
(MSSFP) in Hilbert spaces, a new iterative method of Krasnosel’skii-
Mann type and its combination with the steepest-descent algorithm are
presented. In particular, the step size in these methods is calculated
directly from the iteration procedure without prior knowledge of opera-
tor norms. A numerical example is given for illustrating the introduced
methods
(MSSFP) in Hilbert spaces, a new iterative method of Krasnosel’skii-
Mann type and its combination with the steepest-descent algorithm are
presented. In particular, the step size in these methods is calculated
directly from the iteration procedure without prior knowledge of opera-
tor norms. A numerical example is given for illustrating the introduced
methods
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