拟单调变分不等式组的强制性条件  

Coercivity Conditions for A System of Quasimonotone Variational Inequalities

作　　者：郭爱权[1] 冯世强[1] 

机构地区：[1]西华师范大学数学与信息学院,四川南充637002

出　　处：《内江师范学院学报》2011年第2期19-21,共3页Journal of Neijiang Normal University

基　　金：国家自然科学基金资助项目(60804065);西华师范大学科研启动基金资助项目(08B75)

摘　　要：引进了拟单调变分不等式组问题,把变分不等式问题推广到了变分不等式组问题,讨论了该拟单调变分不等式组具有非空无界解的强制性条件,建立强制性条件与变分不等式组问题解集的关系.A system of quasimonotone variational inequalities problems is introduced. Variational inequalities problems are generalized to the system of variational inequalities problems. Coercivity conditions for this system of quasimonotone variational inequalities to have nonempty, possibly unbounded solutions are discussed about. The interrelation between coercivity conditions and solution sets of a system of vatiational inequalities problems is established.

关 键 词：变分不等式组 拟单调映射 强制性条件 

分 类 号：O22[理学—运筹学与控制论]