Let E be a uniformly convex and uniformly smooth Banach space, let C be a nonempty closed convex subset of E, let { T n } : C → C be a countable family of weak relatively nonexpansive mappings such that F = ? n = 1 ∞ F ( T n ) ≠ ? . For any given gauss x 0 ∈ C , define a sequence { x n } in C by the following algorithm: { C 0 = C , C n + 1 = { z ∈ C n : ? ( z , T n x n ) = ? ( z , x n ) } , n = 0 , 1 , 2 , 3 , … , x n + 1 = Π C n + 1 x 0 . Then { x n } converges strongly to q = Π F x 0 . MSC:47H05, 47H09, 47H10.
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机译：令E为一致凸且一致光滑的Banach空间，令C为E的一个非空封闭凸子集，令{T n}：C→C为一个可数的弱相对非扩张映射的族，使得F =？ n = 1∞F（T n）≠？ 。对于任何给定的高斯x 0∈C，通过以下算法在C中定义一个序列{x n}：{C 0 = C，C n +1 = {z∈C n： （z，T n x n）＝？ （z，x n）}，n ＝ 0，1、2、3，…，x n + 1 ＝ΠC n +1 x 0。然后{x n}强烈收敛到q =ΠF x 0。 MSC：47H05、47H09、47H10。
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