Optimality conditions for a class of variational inequalities with cone constraints  

作　　者：Wen DONG Junrong ZHANG Yiyun WANG La HUANG 

机构地区：[1]School of Mathematics and Statistics,Southwest University,Chongqing 400715,China

出　　处：《Frontiers of Mathematics in China》2025年第1期39-53,共15页中国高等学校学术文摘·数学(英文)

摘　　要：In this paper,through the use of image space analysis,optimality conditions for a class of variational inequalities with cone constraints are proposed.By virtue of the nonlinear scalarization function,known as the Gerstewitz function,three nonlinear weak separation functions,two nonlinear regular weak separation functions and a nonlinear strong separation function are introduced.According to nonlinearseparation functions,some optimality conditions of the weak and strong alternative for variational inequalities with cone constraints are derived.

关 键 词：Variational inequalities with constraints image space analysis nonlinear separation function optimality condition 

分 类 号：O224[理学—运筹学与控制论]