two equivalent forms and a generalization of ky fan section theorem on hspace 截口定理的兩個等價形式和一個推廣
as applications, some minimax inequalities and saddle point the-orems, fixed point theorems and section theorems, maximal element theorems and the existence theorems of equilibrium for abstract economies are obtained in l-convex spaces 作為應(yīng)用,我們得到了新的極大極小不等式、鞍點定理、不動點定理、截口定理和極大元定理,并研究了抽象經(jīng)濟的平衡存在性。
at the foundation of predecessors, this paper studied a new kind of vector equilibrium problem, we proved the existence of solutions for this kind of equilibrium problem by using the section theorem and kkm theorem these two tools, then we generalized this kind of vector equilibrium problem to a more general case 在前人的基礎(chǔ)上,本文首先研究一類新的向量均衡問題,利用截口定理與kkm定理兩種不同的工具證明此類均衡問題解的存在性,接著,把這類向量均衡問題推廣到更為一般的情形。