The authors do an argumentation by using all duality algorithms to(imply) the generating and automatically filter,and then assume an automatic testing way,prove the feasibility of this way with an instance.

Lagrangian duality for vector optimization of set-valued maps;

Study on risk measures-duality method;

Optimality and duality for minimax fractional problems;

Fuzzy subgradient algorithm for solving Lagrangian relaxation dual problem;

A dual characterization for Benson proper efficiency;

The generalization of a dual J.M.Child inequality;