A Topological Degree for Set-Valued Compact Perturbations of Fredholm Maps
Received:December 01, 1989  
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Fan Xianling Department of Mathematics
Lanzhou University 
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Abstract:
      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)(?Ω). In this paper the degree deg(f-G,Ω,p) is defined.
Citation:
DOI:10.3770/j.issn:1000-341X.1991.03.013
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