一个扰动变分不等式的可解性  

Solvability of a Perturbed Variational Inequality

作　　者：李择均 孙淑芹[2] 

机构地区：[1]四川师范大学数学与软件科学学院,成都610066 [2]四川民族学院数学系,四川康定626001

出　　处：《数学物理学报（A辑）》2016年第3期473-480,共8页Acta Mathematica Scientia

基　　金：国家自然科学基金(11271274);四川省教育厅基金(11ZB153)资助~~

摘　　要：在一些强制条件下,研究了一个扰动变分不等式的可解性,获得了两个主要结论:在强制条件(B)下证明了扰动变分不等式的解集是非空有界的;在强制条件(F)下证明了扰动变分不等式的解集包含于一个闭球中.第一个结论改进了已有的结论,第二个结论是新的.The solvability of a perturbed variational inequality is investigated under certain coercivity conditions in this paper. Two main results are obtained. The coercivity condition （B） assumed in the first result implies the solution set of the variational inequality is nonempty and bounded, and the coercivity condition （F） in the second one shows the solution set of the variational inequality is contained in a closed ball. The first result extends some known results, while the second one is new.

关 键 词：变分不等式 强制性条件 扰动 有界 

分 类 号：O22[理学—运筹学与控制论] O177.91[理学—数学]