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.
2003
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore MAT/05 - ANALISI MATEMATICA
English
Senza Impact Factor ISI
fixed points; multivalued mappings; topological degree
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.
DE BLASI, Fs; Georgiev, Pg
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/6148
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