Study of vector optimization with control parameters
Jia Ji · Journal of Northwestern Institute of Architectural Engineering · 2001
The vector optimization problems with control parameters in topological vector spaces are considered. The generalized convexity concept is given for functions with control parameters.The relations between Benson proper solutions for optimization problem and optimal solutions for scalar problem are obtained under generalized convexity conditions.Then,scalar Lagrangian and saddle point are defined.Necessary and sufficient conditions for Benson proper solutions are proved.