江苏师范大学学报（自然科学版）
江囌師範大學學報（自然科學版）
강소사범대학학보（자연과학판）
Journal of Xuzhou Normal University(Natural Science Edition)
2015年
1期
58-62
,共5页
伪不变凸%解集刻画%Lagrange 乘子
偽不變凸%解集刻畫%Lagrange 乘子
위불변철%해집각화%Lagrange 승자
pseu doinvexity%characterizations of solution set%Lagrange multiplier
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。
研究瞭一類帶不等式約束的非線性優化問題最優解集的刻畫。首先在偽不變凸性條件下證明瞭 Lagrange 函數在最優解集上是常數，進而給齣瞭該類問題最優解集的一些刻畫。結果可用于計算一些最優化問題的最優解集。
연구료일류대불등식약속적비선성우화문제최우해집적각화。수선재위불변철성조건하증명료 Lagrange 함수재최우해집상시상수，진이급출료해류문제최우해집적일사각화。결과가용우계산일사최우화문제적최우해집。
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 calcu-late the optimal solution set of an optimization problem.
