集值优化问题ε-严有效性的最优性条件(英文)

Optimality Conditions for Set-valued Optimization in the Sense ofε-Strict Efficiency

本文是文[1]工作的继续,对ε-严有效性开展进一步的研究.对于集值优化问题(SVP),在有关映射为锥-类凸的假设条件下,得到了ε-(真)严有效点(解)的ε-Lagrange乘子、ε-真严鞍点和ε-Lagrange型对偶等结果.

The paper is the continuations of research work.We research ε-strict efficiency further. For the set-valued optimization problem （SVP）, we obtain the results for ε-Lagrange multipliers, ε- properly strict saddle points and ε-Lagrange type duality of the ε-（proper） strict efficient points （solutions） under the assuraptions of cone-convexlikeness of the maps.