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福州大学学报(自然科学版) 2016
极大单调算子零点的强收敛定理
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Abstract:
利用广义投影算子技巧,在一致光滑、一致凸的Banach空间中,建立一种关于极大单调算子零点的具有误差项的投影算法,并在适当的条件下,证明了该算法的强收敛性. 所得结果在关于极大单调算子的零点计算中有新颖性,改进了众多熟知的结果.
We introduce an iterative scheme by projection scheme for zeros of maximal monotone operators with errors in a real uniformly smooth and uniformly convex Banach space. Under suitable condition,some strong convergence theorems are proved. To some extent,it is meaningful to compute common zeros of maximal monotone operators. The results improve and extend some known corresponding results