The constrained degree and fixed-point index theory for set-valued maps

@inproceedings{Cwiszewski2006TheCD,
  title={The constrained degree and fixed-point index theory for set-valued maps},
  author={Aleksander Cwiszewski and Wojciech Kryszewski},
  year={2006}
}
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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