The constrained degree and fixed-point index theory for set-valued maps |
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Authors: | Aleksander Ćwiszewski Wojciech Kryszewski |
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Institution: | Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, ul. Chopina 12/18, 87-100 Toruń, Poland |
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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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Keywords: | 54C60 47H04 47H11 55M25 55M20 |
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