Strong convergence of a modified Krasnoselski-Manniterative algorithm for non-expansive mappings

Yonghong Yao; Haiyun Zhou; Yeong-Cheng Liou

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Strong convergence of a modified Krasnoselski-Manniterative algorithm for non-expansive mappings

机译：用于非膨胀映射的改进的Krasnoselski-Manniterativithm的强烈收敛性

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摘要

In this paper, we introduce a modified Krasnoselski-Mann iterative algo-rithm for non-expansive mappings. Furthermore, we prove that the proposed iterativealgorithm converges strongly to a fixed point of a non-expansive mapping in Hilbertspaces.

机译：在本文中，我们为非膨胀映射引入了一种改进的Krasnoselski-Mann迭代算法。此外，我们证明，所提出的迭代仪算法将强烈融合到希尔伯斯佩斯的非膨胀映射的一个固定点。

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来源
《Journal of Applied Mathematics and Computing》 |2009年第2期|共7页
作者
Yonghong Yao; Haiyun Zhou; Yeong-Cheng Liou;
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作者单位

Department of Mathematics Tianjin Polytechnic University Tianjin 300160 China;

Department of Mathematics Shijiazhuang Mechanical Engineering College Shijiazhuang 050003 China;

Department of Information Management Cheng Shiu University Kaohsiung 833 Taiwan;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Non-expansive mapping; Fixed point; Krasnoselski-Mann iterativealgorithm; Strong convergence;

机译：非膨胀映射;固定点;krasnoselski-mann iterativealgorithm;强烈的收敛;

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1. Strong convergence of a modified Krasnoselski-Manniterative algorithm for non-expansive mappings [J] . Yonghong Yao, Haiyun Zhou, Yeong-Cheng Liou Journal of Applied Mathematics and Computing . 2009,第1a2期

机译：用于非膨胀映射的改进的Krasnoselski-Manniterativithm的强烈收敛性
2. Strong convergence of modified implicit iterative algorithms with perturbed mappings for continuous pseudocontractive mappings [J] . Lu-Chuan Ceng, Adrian Petrusel, Jen-Chih Yao Applied mathematics and computation . 2009,第2期

机译：连续伪压缩映射具有扰动映射的改进隐式迭代算法的强收敛性
3. Strong convergence of modified hybrid algorithm for quasi-{$phi$}-asymptotically nonexpansive mappings [J] . Huancheng Zhang, Yongfu Su Communications of the Korean Mathematical Society . 2009,第4期

机译：拟{{phi $}}-渐近非扩张映射的改进混合算法的强收敛性
4. Strong Convergence of Modified Mann Iterations for a family of quasi-nonexpansive Mappings [C] . Fang Zhang, Yong fu Su International conference on modelling and simulation;ICMS2010 . 2010

机译：一类拟非扩张映射的修正Mann迭代的强收敛性
5. Iterative data detection: Modified message-passing algorithms and convergence. [D] . Heo, Jun. 2002

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6. New construction and proof techniques of projection algorithm for countable maximal monotone mappings and weakly relatively non-expansive mappings in a Banach space [O] . Li Wei, Ravi P. Agarwal -1

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7. STRONG CONVERGENCE OF AN ITERATIVE ALGORITHM FOR A MODIFIED SYSTEM OF VARIATIONAL INEQUALITIES AND A FINITE FAMILY OF NONEXPANSIVE MAPPINGS IN BANACH SPACES [O] . JAE UG JEONG 2015

机译：Banach空间中变分不等式修改系统迭代算法的强趋同，包括Banach空间的有限家族映射
8. A Family of Trust Region Based Algorithms for Unconstrained Minimization with Strong Global Convergence Properties. [R] . Shultz, G. A., Schnabel, R. B., Byrd, R. H. 1982

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Strong convergence of a modified Krasnoselski-Manniterative algorithm for non-expansive mappings

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