The multiple-set split feasibility problem and its application in intensity-modulated radiation therapy
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https://doi.org/10.54939/1859-1043.j.mst.FEE.2023.283-288Keywords:
Split common null point problem; Multiple-set split feasibility problem; Intensity-modulated radiation therapy.Abstract
In this paper, we apply a parallel iterative method for solving the split common fixed point problem in Hilbert spaces, without prior knowledge of the transfer operator norm, to the multiple-set split feasibility problem, which plays an important role in medical image reconstruction and signal processing. By formulating a model of the intensity-modulated radiation therapy treatment in a mathematical framework based on the multiple-set split feasibility problem, we also offer an effective approach for solving the intensity-modulated radiation therapy treatment planning.
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