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一致L-Lipschitz的渐近伪压缩映象不动点的迭代逼近?

王绍荣,何彩香,杨泽恒,熊明

Gongcheng shuxue xuebao（2012）

Cited 23|Views1
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Abstract
本文在任意实的Banach空间中研究了用具误差的修正的Ishikawa与Mann迭代程序来逼近一致L-Lipschitz的渐近伪压缩映象不动点的强收敛性问题.在去掉有关文献的较强条件的情况下,证明了相关结果仍然成立.所得结果不但改进和推广了一些文献的相关结果,而且也改进了定理的证明方法;也使定理的应用范围更为广泛.
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Key words
Fixed-Point Problems,Contractive Mappings,Nonexpansive Mappings,Best Proximity Points,Iterative Algorithms
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