The cooperation decision process is a dynamic equilibrium process driven by risk and return, and the basis of cooperation is the exsistence of Pareto weak effective alternatives.

Weak Efficient Solutions for Some Kinds of Vectorial Optimization Problems in Banach Spaces

This paper studied a class of multiobjective programing problems involving differentiable n-set functions,and obtained sufficient optimality conditions for weak efficient solutions under generalized convexity conditions.

The paper studied that weak efficient solutions are stable with set-valued maps in the topological structure and it is proved that the weak efficient solutions and weak efficient points are stable in the sense of Baire dimension.

Finally,a conclusion is reached that our stock market has come into the weak efficiency stage.

This paper establishes one kind of constructions for vector Lagrangian functionals in a class of multiobjective fractional optimal control problems, called generalized Lagrangian functionals, and the relationship between the weak efficiency and generalized weak saddle points of such a kind of generalized Lagrangian functionals is discussed.

The result of an empirical study shows that in the aspect of industry, Chinese stocks market is neutral and is not weak efficiency.