有限理性与广义向量变分不等式问题的良定性  

Bounded Rationality and Well-Posedness for Generalized Vector Variational Inequalities Problems

作　　者：邓喜才[1,2] 向淑文[1] 

机构地区：[1]贵州大学数学系,贵州贵阳550025 [2]贵州师范学院数学与计算机系,贵州贵阳550018

出　　处：《数学的实践与认识》2015年第9期176-182,共7页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11161008);贵州省科学技术基金([2013]2235);贵州省教育厅自然科学研究项目(黔教科2010055)

摘　　要：利用非线性标量化的技巧定义了广义向量变分不等式问题的理性函数,利用有限理性模型对广义向量变分不等式问题引入了一种新的良定性,这种良定性统一了广义向量变分不等式问题的Levitin-Polyak良定性与Hadamard良定性,且进一步的给出了广义向量变分不等式问题的各种良定性的充分条件.In this paper, we define a rationality functions for generalized vector variational inequalities problems by a nonlinear scalarization method. Using bounded rationality model of generalized vector variational inequalities problems, we introduce a new well-posedness for generalized vector variational inequalities problems, which unifies its Hadamard and Levitin- Polyak well-posedness. Furthermore, we give some sufficient conditions on various types of well-posedness for generalized vector variational inequalities problems.

关 键 词：非线性标量化函数 有限理性模型 良定性 广义向量变分不等式 

分 类 号：O224[理学—运筹学与控制论]