On two projection algorithms for the multiple-sets split feasibility problem

We present a projection algorithm which modifies the method proposed by censor and elfving (1994) and also introduce a self-adaptive algorithm for the multiple-sets split feasibility problem (msfp). the global rates of convergence are firstly investigated and the sequences generated by two algorithms are proved to converge to a solution of the msfp. the efficiency of the proposed algorithms is illustrated by some numerical tests. © 2013 qiao-li dong and songnian he.