We present a direct construction of a topological degree for multivalued vector fields I - F in a Banach space, where F takes closed, bounded, convex (or non convex) values and the set-valued range of F is precompact in the Pompeiu-Hausdorff metric. Some useful properties of our topological degree are established. Applications to fixed point theory including a Borsuk's type result are considered.
DE BLASI, F.s., Georgiev, P.g. (2003). Hukuhara's topological degree for non compact valued multifunctions. PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 39(1), 183-203.
Hukuhara's topological degree for non compact valued multifunctions
DE BLASI, FRANCESCO SAVERIO;
2003-01-01
Abstract
We present a direct construction of a topological degree for multivalued vector fields I - F in a Banach space, where F takes closed, bounded, convex (or non convex) values and the set-valued range of F is precompact in the Pompeiu-Hausdorff metric. Some useful properties of our topological degree are established. Applications to fixed point theory including a Borsuk's type result are considered.File in questo prodotto:
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