New smooth gap function for box constrained variational inequalities
New smooth gap function for box constrained variational inequalities
复制标题
用于框约束变分不等式的新平滑间隙函数
DOI：
10.1007/s10483-013-1649-x
复制
发表时间：
2012
影响因子：
--
通讯作者：
Xing Li
中科院分区：
文献类型：
--
作者：
Li;Xing Li
基于一个积分型全局最优性条件，提出了一个新的箱约束变分不等式问题的光滑间隙函数。光滑间隙函数是一种简单的、具有良好可微性的函数。利用所提出的光滑间隙函数，可将箱形约束变分不等式转化为可微优化问题。讨论了最优化问题的任一不动点是箱约束变分不等式的解的条件。一个简单的摩擦接触问题进行了分析，以显示光滑间隙函数的应用。最后，数值实验证实了该方法的良好理论性能。
A new smooth gap function for the box constrained variational inequality problem (VIP) is proposed based on an integral global optimality condition. The smooth gap function is simple and has some good differentiable properties. The box constrained VIP can be reformulated as a differentiable optimization problem by the proposed smooth gap function. The conditions, under which any stationary point of the optimization problem is the solution to the box constrained VIP, are discussed. A simple frictional contact problem is analyzed to show the applications of the smooth gap function. Finally, the numerical experiments confirm the good theoretical properties of the method.
影响因子：
2.7
作者：
FUKUSHIMA, M
通讯作者：
FUKUSHIMA, M