一类伪不变凸优化问题解集的刻画  

Characterizations of solution sets of a class of pseudoinvex optimization problems

作　　者：张国君[1] 彭婕[1] 

机构地区：[1]重庆师范大学数学学院,重庆401331

出　　处：《江苏师范大学学报（自然科学版）》2015年第1期58-62,共5页Journal of Jiangsu Normal University：Natural Science Edition

基　　金：国家自然科学基金资助项目(11171363);重庆市自然科学基金资助项目(CSTC2012jjA00002)

摘　　要：研究了一类带不等式约束的非线性优化问题最优解集的刻画.首先在伪不变凸性条件下证明了Lagrange函数在最优解集上是常数,进而给出了该类问题最优解集的一些刻画.结果可用于计算一些最优化问题的最优解集.In this paper,characterizations of the solution sets are studied for a class nonlinear optimization problems with inequality constraints.Under the assumption of pseudoinvexity,the fact that the Lagrange function is constant on the solution set is proved,and further some characterizations are given.These characterizations are used to calculate the optimal solution set of an optimization problem.

关 键 词：伪不变凸 解集刻画 LAGRANGE乘子 

分 类 号：O221.2[理学—运筹学与控制论]