广义集压缩映射组不动点定理的推广

Study in a Few Kinds of Fixed Point Problems in Set-valued Mappings and Its Applications

研究了几类集值映射的不动点问题.在集合压缩映射的基础上研究广义集压缩映射组的不动点定理,根据连续算子的Altman不动点定理,得出了在广义集压缩映射组基础上的Altman不动点的推广定理.

In this paper a few kinds of fixed point problems in set-valued mappings are discussed. We discusse the fixed point theorem for a system of generalized set-contraction mappings and obtain the new fixed point theorem for a system of generalized set-contraction mappings. At the same time, we extend some results of Altman＇s theorem.