摘要
文[1]在有穷维空间中建立了可微多目标规划的最优性条件,并得出了一些有意义的结论.本文将这些结论推广到了无穷维空间中,得到了无穷维空间中向量最优化问题的最优性条件.
In paper[ 1 ] the author established the optimality conditions in multiobjective differentiable Programming, and got a series of meaningful conclusions. In this paper, we expande these conclusions to the infinite vector optimation problems. The optimality conditions in infinite vector optimation problems are obtained.
出处
《经济数学》
2006年第4期426-431,共6页
Journal of Quantitative Economics
关键词
无穷维空间
约束规格
最优性必要条件
最优性充分条件
PARETO最优解
η-伪凸
η-拟凸.
Infinite dimensional spaces, Constraint qualification, necessary optimality condition, sutticient optimality condition, Pareto-optimal solutions, η- pseudoconvexity, η- quasiconvexity.
