Study on the vector extretmum problems
Jia Ji · Journal of Northwestern Institute of Architectural Engineering · 2001
Generalized cone convexlikeness vector extremum problems is considered in locally convex real toplogical vector spaces.Firstly, a sufficienct condition of minimal element in terms of quasitangent cone is obtained.Secondly, a sufficient condition of miniamal element of scalarization problems in terms of quasitangent cone is given. Finally, Lagrangian function of vector extremum problems is defined, and concept of saddlepoint of Lagrangian function is given, a sufficient condition of saddle point for vector extremum problems is established.