拟凸变分不等式与拟凸优化问题的关系  

Relation between quasi-convex variational inequalities and quasi-convex optimization problems

作　　者：徐智会 陈瑞婷 XU Zhihui;CHEN Ruiting(Department of Mathematics,Chongqing Normal University,Chongqing 401331,China)

机构地区：[1]重庆师范大学数学科学学院,重庆401331

出　　处：《周口师范学院学报》2018年第2期21-24,共4页Journal of Zhoukou Normal University

基　　金：国家自然科学基金(No.11201511);重庆市科委项目(No.cstc2015jcyjA00005);重庆市教委项目(No.KJ1500309)

摘　　要：研究了拟凸变分不等式的解与拟凸优化问题最优解之间的关系.首先利用已有的拟凸次微分提出拟凸变分不等式问题,随后,研究了变分不等式的解和拟凸优化问题最优解的充分必要条件,并给出相应例题予以说明.In this paper,we study the relation between the quasi-convex variational inequalities and quasi-convex optimization problems.Firstly,we propose the quasi-convex variational inequality problem by using the known sub-differential of quasi-convex function.And then,some sufficient and necessary conditions among then are studied.Finally,we take some examples to illustrate the main results.

关 键 词：拟凸函数 次微分 拟凸变分不等式 拟凸最优化 

分 类 号：O221.6[理学—运筹学与控制论]