不动点和极大元定理在抽象经济中的应用

Fixed Point and Maximal Element Theorems with Applications to Abstract Economies

由较好允许映象类的性质对定义在G 凸空间的乘积空间上的一簇集值映象证明了一些新的不动点定理,在G 凸空间的乘积空间内给出了一簇集值映象的极大元存在性定理.作为应用,得到了一些抽象经济的平衡存在定理.

In this paper,by applying the properties of better admissible mappings, some new collectively fixed point theorems for a family of set-valued mappings defined on the product space of noncompact G-convex spaces are proved. Some existence theorems of maximal element are given in G-convex spaces. As applications some equlibrium existence theorems of economies are obtained.These theorems improve, unify and generalize many important known results in the recent literature.