Affiliation:
1. College of Science Civil Aviation University of China Tianjin 300300 CHINA
Abstract
In this paper, we study the split feasibility problem with multiple output sets in Hilbert spaces. We propose a new self-adaptive algorithm combing with ball-relaxation and inertial acceleration, and prove its strong convergence. Numerical simulations are provided to illustrate the effectiveness of the proposed algorithm.
Publisher
World Scientific and Engineering Academy and Society (WSEAS)
Reference25 articles.
1. Y. Censor, T. Elfving, A multi projection algorithm using Bregman projections in a product space, Numer. Algorithms, Vol.8, No.3, 1994, pp. 221-239.
2. Y. Censor, T. Elfving, N. Kopf, T. Bortfeld, The multiple-sets split feasibility problem and its application for inverse problem, Inverse Probl., Vol.21, 2005, pp. 2071-2084.
3. C. Byrne, Iterative oblique projection onto convex sets and the split feasibility problem, Inverse Probl., Vol.18, No.2, 2002, pp. 441-453.
4. C. Byrne, A unified treatment of some iterative algorithms in signal processing and image reconstruction, Inverse Probl., Vol.20, No.1, 2004, pp. 103-120.
5. Y. Censor, A. Segal, Iterative projection methods in biomedical inverse problems. Mathematical methods in biomedical imaging and intensity-modulated radiation therapy (IMRT), Vol.10, 2008, pp. 656.