摘要
<正> 本文中我们将对零指标Fredholm映射的集值紧摄动建立拓扑度理论,以适应解决某些非光滑问题的需要.§1预备知识零指标Fredholm映射的单值连续紧摄动的拓扑度理论是本文的基础,这方面的知识见[1].对于度量空间(X,d)中的二非空子集A与B,记d(A,B)=sup{d(x,B)|x∈A}.设F:X→2~E是集值映射.对A(?)X,记F(A)=∪F(x).F的值域F(x)记为R(F),
Suppose that X is a paracompact oriented C` -Banach-Fredholm manifold, Ω is an open subset of X, E is a Banach space, f:Ω→E is a proper continuous map, f:Ω→E is an admissible (nonlinear) C' -Fredholm map of index zero,G:Ω→2E is an upper semicontinuous compact set-valued map with compact convex values, p∈ E\(f-G). In this paper the degree deg(f-G,Ω,p) is defined.
