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;

Apply of Symmetry and Antithesis in day-to-day Teaching Activities in Science and Technology Aesthetics;

Tai Ji and Antithesis--Research of Psychology and Rhetoric,Series 4;

In Chinese classical poems, "antithesis" is a widely used means to reflect the contrasting parts of the world, achieving beauty in form and in sense.

Under the condition of P-reflexivity,a dual pair(X,P) is uniformly smooth(uniformly convex) if and only if its strong dual pair(X′,P′) is uniformly convex(uniformly smooth).

We improve the definitions of uniformly convex,locally uniformly convex,strong convex and very convex for the dual pair (X,P) and discuss the mutual relations of these concepts.

A statistical analysis of antithetical parallelisms in Zuo s Commentary;

By applying such ways as statistical analysis,comparative study,illustration and evaluation,the author tries to show the unique features of the antithetical parallelism,a very important rhetorical device successfully used by Ban Gu,the ancient Chinese historian,in his masterpiece History of the Former Han Dynasty,with a view to appreciating its elegant language style from a different perspective.

By applying such ways as statistical analysis,comparative study,illustration,the author tries to show the unique features of the antithetical parallelism in Zuo s Commentary,a classic devoted to render an interpretation of the Spring and Autunm Annals(Chunqiu),with a view to providing a special perspective for an appreciation of language features in this classic.