CAT（κ）空间中非扩张算子的Halpern迭代算法

(College of Mathematics and Computer Science,Jishou University,Jishou 416000,Hunan China)

摘要：证明了完备CAT(κ)空间中Halpern算法所产生的迭代序列强收敛于非扩张算子的不动点.

关键词： CAT(&kappa, )空间, 非扩张算子, Halpern算法

Abstract: It is proved that the sequence defined by Halpern’s algorithm converges strongly to a fixed point in complete CAT(κ) spaces.

Key words: CAT(&kappa, ) spaces, nonexpansive mapping, Halpern&rsquo, s algorithm

王仙云, 方东辉. CAT（κ）空间中非扩张算子的Halpern迭代算法[J]. journal6, 2011, 32(2): 9-12.

WANG Xian-Yun, FANG Dong-Hui. Halpern’s Algorithm for Nonexpansive Mappings in CAT(κ) Spaces[J]. journal6, 2011, 32(2): 9-12.

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