| Banach空间中Noor型变分不等式的广义投影法 |
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| 引用本文： | 徐永春,何欣枫,侯志彬,何震. Banach空间中Noor型变分不等式的广义投影法[J]. 数学物理学报(A辑), 2010, 30(3): 808-817 |
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| 作者姓名： | 徐永春 何欣枫 侯志彬 何震 |
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| 作者单位： | 徐永春(河北北方学院教学系,河北张家口,075000);何欣枫,侯志彬,何震(河北大学数学与计算机学院,河北保定,071002) |
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| 基金项目： | 教育部重点课题项目，国家自然科学基金项目，张家口市科学技术研究与发展计划项目 |
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| 摘 要： | 该文提出并分析了用广义投影方法解Noor型广义变分不等式问题.在较弱的条件下考虑了一个迭代格式的收敛性.由于广义变分不等式包含了许多变分不等式和相补问题为特例,因此该文得出的结果可以应用到这些问题中.这些结果是以前众多学者所做工作的完善和改进.
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| 关 键 词： | 广义投影映射 Noor型广义变分不等式 一致光滑Banach空间 李雅普诺夫泛函 |
| 收稿时间： | 2008-12-11 |
| 修稿时间： | 2009-10-08 |
Generalized Projection Methods for Noor Variational Inequalities in Banach Spaces |
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| XU Yong-Chun,HE Xin-Feng,HOU Zhi-Bin,HE Zhen. Generalized Projection Methods for Noor Variational Inequalities in Banach Spaces[J]. Acta Mathematica Scientia, 2010, 30(3): 808-817 |
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| Authors: | XU Yong-Chun HE Xin-Feng HOU Zhi-Bin HE Zhen |
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| Affiliation: | 1. Department of Mathematics, Hebei North College, Hebei Zhangjiakou 075000|2. College of Mathematics and Computer, Hebei University, Hebei Baoding 071002 |
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| Abstract: | In this paper, we suggest and analyze generalized projection methods for finding the elements of the set of solutions of the generalized variational inequalities. We also consider the convergence analysis of the suggested iterative schemes under some mild conditions. Since the generalized variational inequalities include variational inequalities and complementarity problems as special cases, results obtained in this paper continue to hold for these problems. Results obtained in this paper may be viewed as an refinement and improvement of the previously known results. |
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| Keywords: | Generalized projection mappingzz Generalized variational inequalitieszz Uniformly smooth Banach spacezz Lyapunov functionalzz |
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