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Zbl 1215.65115
Zhao, Jinling; Yang, Qingzhi
Self-adaptive projection methods for the multiple-sets split feasibility problem. (English)
[J] Inverse Probl. 27, No. 3, Article ID 035009, 13 p. (2011). ISSN 0266-5611

The authors present a self-adaptive projection method by adopting Armijo-like searches to solve the multiple-sets split feasibility problem. Then a relaxed self-adaptive projection method is proposed to solve a special case of the multiple-sets split feasibility problem by using projections onto half-spaces instead of those onto the original convex sets. Both methods avoid the estimation of the Lipschitz constant and the computation of the largest eigenvalue of the matrix. Convergence results for both methods are established. Some numerical results are reported to verify the theoretical assertions.
[Hang Lau (Montréal)]

MSC 2000:: *65K05 Mathematical programming (numerical methods)
90C29 Multi-objective programming, etc.
90C30 Nonlinear programming

Keywords: multiple-sets split feasibility problem; Self-adaptive projection methods; convergence; Armijo-like searches; numerical results

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