集值映射向量优化问题的ε-真有效解

摘要

ε-Properly efficient solutions of vector optimization problems with set-valued maps are discussed. Under the assumption of the generalized cone-subconvexlikeness for setvalued maps, the scalarization theorems, the ε-Lagrange multipliers theorems, the ε-saddle-point theorems and ε-proper duality theorems for ε-properly efficient solutions of vector optimization problems with set-valued maps are obtained.%本文讨论集值映射向量优化问题的ε-真有效解.在集值映射为广义锥-次类凸的假设下,建立了这种解的标量化定理,ε-Lagrange乘子定理,ε-真鞍点定理和ε-真对偶性定理.