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Guash Haile Taddele, Poom Kumam, Aviv Gibali, Wiyada Kumam, An outer quadratic approximation method for solving split feasibility problems

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DOI: 10.23952/jano.5.2023.3.05
Volume 5, Issue 3, 1 December 2023, Pages 349-370

 

Abstract. In this paper, we consider the multiple-sets split feasibility problem in real Hilbert space and propose a self-adaptive method that uses projections onto quadratic (balls) approximations of the problem’s associated sets. Our algorithm has several major advantages over existing methods in the literature. The first is its simple implementation as it uses closed-formula projection onto balls, and the second is that strong convergence is obtained under mild conditions. Several numerical experiments illustrate and compare the performances of the proposed scheme.

 

How to Cite this Article:
G.H. Taddele, P. Kumam, A. Gibali, W. Kumam, An outer quadratic approximation method for solving split feasibility problems, J. Appl. Numer. Optim. 5 (2023), 349-370.