一类伪不变凸优化问题解集的刻画

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 calcu-late the optimal solution set of an optimization problem.