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The purpose of this paper is to study the convergence problem of the iteration scheme xn+1 = λn+1y +(1–λn+1) Tn+1xn for a family of infinitely many nonexpansive mappings T1, T2, . . . in a Hilbert space. It is proved that under suitable conditions this iteration scheme converges strongly to the nearest common fixed point of this family of nonexpansive mappings. The results presented in...
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