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解拟变分不等式的超平面投影算法 被引量：1

THE HYPERPLANE PROJECTION ALGORITHM FOR SOLVING QUASI-VARIATIONAL INEQUALITIES
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摘要 拟变分不等式问题是变分不等式问题的一种推广,超平面投影算法是解变分不等式的一种重要方法.通过构造严格分离当前点与拟变分不等式解集的超平面,建立了解拟变分不等式的超平面投影算法.在一定的条件下,证明了该算法的全局收敛性. Quasi-variational inequality problem is an extension of variational inequality problem,and the hyperplane projection algorithm is an important method for solving variational inequality problem.In this paper,we present a hyperplane projection algorithm for solving quasi-variational inequality problem,where the hyperplane strictly separates the current iterate from the solutions of the problem.The proposed algorithm is shown to be globally convergent to a solution of the quasivariational inequality problem under certain assumptions.
作者 郑莲
机构地区 长江师范学院数学与计算机科学学院
出处 《系统科学与数学》 CSCD 北大核心 2013年第5期579-584,共6页 Journal of Systems Science and Mathematical Sciences
基金 重庆市教委重点资助项目(kj111309)
关键词 拟变分不等式 超平面投影算法 Armijo线性搜寻 收敛性 Quasi-variational inequalities hyperplane projection algorithm Armijo linear search convergence
分类号 O178 [理学—基础数学]
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参考文献10

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二级参考文献10

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系统科学与数学
2013年 第5期

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