Hybrid Projection Algorithm for Two Countable Families of Hemirelatively Nonexpansive Mappings and Applications

Zi-Ming Wang; Poom Kumam

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Hybrid Projection Algorithm for Two Countable Families of Hemirelatively Nonexpansive Mappings and Applications

机译：半可映象非映象的两个可数族的混合投影算法及其应用

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摘要

Two countable families of hemirelatively nonexpansive mappings are considered based on a hybrid projection algorithm. Strong convergence theorems of iterative sequences are obtained in an uniformly convex and uniformly smooth Banach space. As applications, convex feasibility problems, equilibrium problems, variational inequality problems, and zeros of maximal monotone operators are studied.

机译：基于混合投影算法，考虑了两个可计数的半日面非扩展映射。在一致凸且一致光滑的Banach空间中获得了迭代序列的强收敛定理。作为应用，研究了凸可行性问题，平衡问题，变分不等式问题以及最大单调算子的零点。

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来源
《Journal of applied mathematics》 |2013年第6期|共7页
作者
Zi-Ming Wang; Poom Kumam;
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原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
Hybrid; Families; Applications;

机译：混合动力;家庭;应用;

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专利

1. Hybrid Projection Algorithm for Two Countable Families of Hemirelatively Nonexpansive Mappings and Applications [J] . Zi-Ming Wang, Poom Kumam Journal of applied mathematics . 2013,第Pta6期

机译：半可映象非映象的两个可数族的混合投影算法及其应用
2. Hybrid algorithm for common fixed points of uniformly closed countable families of hemirelatively nonexpansive mappings and applications [J] . Ai S., Su Y. Journal of applied mathematics . 2012,第Pta3期

机译：均匀闭合可数族半对称非扩张映射的公共不动点的混合算法及应用
3. Hybrid Algorithm for Common Fixed Points of Uniformly Closed Countable Families of Hemirelatively Nonexpansive Mappings and Applications [J] . SumeiAi, YongfuSu Journal of applied mathematics . 2012,第2期

机译：拟非扩张映射的一致封闭可数族的公共不动点的混合算法及其应用
4. Iterative Algorithm of Fixed Points for Nonexpansive Mappings by Metric Projections [C] . Wang Yuanheng, Sheng Zongsheng 2010 Second International Conference on Multimedia Information Networking and Security . 2010

机译：度量投影的非扩张映象不动点迭代算法
5. Projection algorithms for conic programming with applications in compressed sensing. [D] . Edwards, Chantal. 2007

机译：用于圆锥编程的投影算法及其在压缩传感中的应用。
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

机译：Banach空间中可数最大单调映射和弱相对非扩展映射的投影算法的新构造和证明技术
7. Hybrid Algorithm for Common Fixed Points of Uniformly Closed Countable Families of Hemirelatively Nonexpansive Mappings and Applications [O] . Sumei Ai, Yongfu Su 2012

机译：均匀闭合数映射映射和应用均匀闭合可数家族的共同固定点混合算法及应用

Hybrid Projection Algorithm for Two Countable Families of Hemirelatively Nonexpansive Mappings and Applications

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