ε -变分不等式及其对偶性  

ε -Variational Inequality and Its Duality

作　　者：黄龙光[1] HUANG Longguang(School of Science,Jimei University,Xiamen 361021,China)

机构地区：[1]集美大学理学院,福建厦门361021

出　　处：《集美大学学报（自然科学版）》2020年第5期376-378,共3页Journal of Jimei University：Natural Science

基　　金：国家自然科学基金项目(11461044,11961047)。

摘　　要：利用ε-次微分和凸函数的共轭函数,讨论Banach空间带集值映射的ε-变分不等式及其对偶性,给出无约束条件下凸优化问题的ε-最优解、ε-变分不等式及其对偶问题解之间的若干特征刻画。Theε-variational inequality with set-valued mapping and its duality were discussed by theε-subdifferential and conjugate function of convex function in Banach space.Some characteristic relationships for solutions of problems discussing amongε-optimal solutions of convex optimization problems with non-constraint condition,ε-variational inequality and its duality were presented.

关 键 词：ε-变分不等式 ε-次微分 对偶问题 Ε-最优解 

分 类 号：O221.2[理学—运筹学与控制论]