抽象凸一致空间中的新型不动点定理(英文)

The New Fixed Point Theorems in Abstract Convex Uniform Spaces

在抽象凸一致空间中定义了一组新的较佳容许集值映射组BG,并在抽象凸一致空间的子集上引入了Klee邻接性质.利用此定义和性质,在抽象凸一致空间中证明了一组涉及较佳容许集值映射组的新的不动点定理.

The new concepts of better admissible class B^G and of Klee approximability for subsets of abstract convex uniform spaces are introduced. Some new fixed point theorems for better admissible set-valued mappings are proved in abstract convex uniform spaces. These results generalize some known results in literature.