Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
844784 | Nonlinear Analysis: Theory, Methods & Applications | 2006 | 22 Pages |
Abstract
In the first part of the paper we give a construction of a topological degree theory for set-valued tangent vector fields with convex and nonconvex values defined on nonsmooth closed subsets of a Banach space. The obtained homotopy invariant is an extension of the classical degree for vector fields on manifolds. In the second part we propose a fixed-point index for inward maps on arbitrary closed convex sets.
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Authors
Aleksander Äwiszewski, Wojciech Kryszewski,