拟变分不等式问题的一种投影收缩算法
A Projection and Contraction Algorithm for Quasi-Variational Inequality Problem
DOI: 10.12677/ORF.2016.62007, PDF,    国家自然科学基金支持
作者: 张文伟, 屈 彪：曲阜师范大学管理学院，山东 日照 ；张善美：曲阜师范大学日照校区图书馆，山东 日照
关键词: 拟变分不等式；投影；超平面；Quasi-Variational Inequality； Projection； Hyperplane
摘要: 本文给出了求解拟变分不等式问题的一种投影收缩算法，算法包括预测步和修正步，修正步的计算不需要做投影，在适当的假设条件下，证明了算法的全局收敛性。
Abstract: In this paper, we present a projection and contraction algorithm for solving the quasi-variational inequality problem. The algorithm includes prediction step and correction step. The calculation of the correction step does not need to do the projection. Our method is proven to be globally con-vergent under certain assumptions.
文章引用：张文伟, 张善美, 屈彪. 拟变分不等式问题的一种投影收缩算法[J]. 运筹与模糊学, 2016, 6(2): 51-59. https://dx.doi.org/10.12677/ORF.2016.62007

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