集值映射向量优化问题的ε-超有效解

摘要

本文引进了集值映射向量优化问题的ε-超有效解概念,并在集值映射为近似广义锥次似凸的假设下,建立了关于ε-超有效解的标量化定理和Lagrange乘子定理.%In this paper, the e-super efficient solution for set-valued map vector optimization is introduced. And under the assumption of the nearly generalized cone-subconvexlikeness for set-valued maps, the scalarization theorem and Lagrange multiplier theorem for e-super efficient solution are established.