应用数学和力学2013，Vol.34Issue(1)：27-37,11.DOI:10.3879/j.issn.1000-0887.2013.01.004
箱式约束变分不等式的一类新光滑gap函数
New Smooth Gap Function for Box Constrained Variational Inequalities
摘要
Abstract
A new smooth gap function for box constrained variational inequality problem was proposed based on an integral global optimality condition. The smooth gap function was simple and had some good differentiable properties. The box constrained variational inequality problem could be reformulated as a differentiable optimization problem by using the proposed smooth gap function. Conditions under which any stationary point of the optimization problem was the solution to box constrained variational inequality problem were discussed. A simple frictional contact problem was analyzed to illustrate the application of this smooth gap function. Finally, numerical experiments confirmed the good theoretical properties of the method.关键词
箱式约束变分不等式问题/光滑gap函数/积分型全局最优性条件Key words
box constrained variational inequality problem/ smooth gap function/ integral global optimality condition分类
数理科学引用本文复制引用
张丽丽,李兴斯..箱式约束变分不等式的一类新光滑gap函数[J].应用数学和力学,2013,34(1):27-37,11.基金项目
国家自然科学基金资助项目(10902077 （）
11172209 （）
10572031) （）
