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例谈变分不等式与其间隙函数的关系
引用本文:吕丽霞. 例谈变分不等式与其间隙函数的关系[J]. 山西师范大学学报:自然科学版, 2012, 0(4): 18-20
作者姓名:吕丽霞
作者单位:南京财经大学应用数学学院,江苏南京210046
摘    要:本文给出了实数空间R中一个具体变分不等式的例子,并通过定义其间隙函数,验证了变分不等式问题与有约束最优化问题之间的等价关系.

关 键 词:变分不等式  间隙函数  最大值

An Example about the Relationship of Between Variational Inequality and Its Gap Function
LV Li xia. An Example about the Relationship of Between Variational Inequality and Its Gap Function[J]. Journal of Shanxi Teachers University, 2012, 0(4): 18-20
Authors:LV Li xia
Affiliation:LV Li xia ( School of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing,210046, Jiangsu, China)
Abstract:In this paper, a concrete example of variational inequality in the real space R, and by definiting its gap function is given, the equivalence relation between variational inequality problem and constrained optimization problem is veritied.
Keywords:variational inequality  gap function  maximum value
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