集值映射序列的极限映射的锥次微分的存在性

本文首先给出了集值映射序列的极限映射的上半连续性与J -凸性 ;其次解决了集值映射序列的极限映射的锥次微分的存在性。

φ压缩型集值映射列的公共不动点定理

在度量空间中,研究了准压缩型集值映射列的公共不动点定理,给出了如下结果:设集值映射序列Ai:X→Pf(x)满足:任意i,j=1,2,…,x,y∈X及u∈Aix,存在v∈Aiy,使得d(u,v)≤φ(d(x,y),d(x,Aix),d(y,Ajy),d(y,Ajx)):则≤Ai≤有公共不动点。

Common Fixed Point Theorems for Sequences of φ-type Contraction Set-valued Mappings

In complete metric spaces, the common fixed point theorems for sequences of φ-type contraction set-valued mappings are established, and the corresponding random com- mon fixed point theorems for set-valued mappings are also obtained.