一个关于紧映射序列极限的不动点定理

A fixed point theory about limitation map of compact maps sequence

设M为Banach空间X中的有界子集,在M上有一致收敛于f0的紧映射序列{Fn}。当{Fn}中每个元Fn满足一定条件时,Fn在集{Fn(x),x∈M}上均有不动点且唯一,然后讨论极限映射f0在集D=f0({f0x,x∈M})上不动点的存在性与唯一性。

In this thesis, the compact maps .sequence { Fn （x） } on the bounded subset M of Banach space X is supposed and the sequence { Fn（x） } satisfies that Fn converges to the map f0 uniformly on M. Then { Fn （x） } also satisfies some conditions in addition to the above so that each Fn of { Fn （x） } has unique fixed point in set { Fn（x） ,x ∈ M}. Then we will discuss the fixed point problem off0.