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渐近非扩张型映像的黏性三步迭代序列强收敛性 被引量:3

Strong convergence of the viscosity three-step iterative sequences for asymptotic noexpansive mappings
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摘要 在一致凸Banach空间中,研究了渐近非扩张映像不动点的黏性三步迭代法,证明了在一定条件下该迭代序列强收敛于T的不动点,从而改进和推广了近代相关的一些结果. A new viscosity three-step iterative method for the fixed points of asymptotic noexpansive mappings was given in uniformly convex Banach spaces. A strongly convergent theorem for this kind of iterative sequences was obtained. The results extended some recent results in literatures obtained by other authors.
出处 《浙江师范大学学报(自然科学版)》 CAS 2012年第3期241-245,共5页 Journal of Zhejiang Normal University:Natural Sciences
基金 国家自然科学基金资助项目(11071169) 浙江省自然科学基金资助项目(Y6100696)
关键词 渐近非扩张映像 不动点 三步迭代序列 黏性 asymptotic noexpansive mapping fixed point three-step iterative sequence viscosity
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参考文献7

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二级参考文献24

  • 1黄建锋,王元恒.关于一种严格伪压缩映象Mann迭代序列的强收敛性[J].浙江师范大学学报(自然科学版),2006,29(4):378-381. 被引量:4
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共引文献5

同被引文献42

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