| 广义非凸变分不等式解的存在性与投影算法 |
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| 引用本文： | 闻道君,陈义安.广义非凸变分不等式解的存在性与投影算法[J].数学杂志,2012,32(3):475-480. |
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| 作者姓名： | 闻道君 陈义安 |
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| 作者单位： | 重庆工商大学数学与统计学院,重庆,400067 |
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| 基金项目： | 国家自然科学基金，重庆市教委科技研究项目 |
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| 摘 要： | 本文运用Banach压缩映象原理和投影技巧研究一类新的广义非凸变分不等式问题解的存在唯一性,并在非凸集上建立一个逼近广义非凸变分不等式解的三步投影算法,在一定条件下证明了该投影算法所产生的迭代序列的收敛性.
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| 关 键 词： | 广义非凸变分不等式 近似正规锥 不动点 投影算法 |
EXISTENCE OF SOLUTION AND PROJECTION METHOD FOR GENERAL NONCONVEX VARIATIONAL INEQUALITY |
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| WEN Dao-jun
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CHEN Yi-an.EXISTENCE OF SOLUTION AND PROJECTION METHOD FOR GENERAL NONCONVEX VARIATIONAL INEQUALITY[J].Journal of Mathematics,2012,32(3):475-480. |
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| Authors: | WEN Dao-jun CHEN Yi-an |
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| Institution: | (College of Mathematics and Statistics,Chongqing Technology and Business University,Chongqing 400067,China) |
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| Abstract: | In this article,a new general nonconvex variational inequality is introduced and considered,and the existence and uniqueness of solution of the variational inequality problems is studied with Banach contraction principle and projection technique.A three-step projection method is established for solving the general nonconvex variational inequality,and the convergence of the projection method is discussed under suitable conditions. |
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| Keywords: | general nonconvex variational inequality proximal normal cone fixed point projection methods |
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