Geodesic
A new simultaneous subgradient projection algorithm for solving a multiple-sets split feasibility problem
Applications of Mathematics, Tome 59 (2014) no. 1, pp. 37-51.

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In this paper, we present a simultaneous subgradient algorithm for solving the multiple-sets split feasibility problem. The algorithm employs two extrapolated factors in each iteration, which not only improves feasibility by eliminating the need to compute the Lipschitz constant, but also enhances flexibility due to applying variable step size. The convergence of the algorithm is proved under suitable conditions. Numerical results illustrate that the new algorithm has better convergence than the existing one.
DOI : 10.1007/s10492-014-0040-z
Classification : 47J25, 90C25, 90C30, 90C33
Keywords: multiple-sets split feasibility problem; subgradient; extrapolated technique 
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Dang, Yazheng; Gao, Yan. A new simultaneous subgradient projection algorithm for solving a multiple-sets split feasibility problem. Applications of Mathematics, Tome 59 (2014) no. 1, pp. 37-51. doi : 10.1007/s10492-014-0040-z. http://geodesic.mathdoc.fr/articles/10.1007/s10492-014-0040-z/

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