JournalsprimsVol. 39, No. 1pp. 183–203

Hukuhara’s Topological Degree for non Compact Valued Multifunctions

  • Francesco S. De Blasi

    Università di Roma 'Tor Vergata', Italy
  • Pando Gr. Georgiev

    University of Sofia, Bulgaria
Hukuhara’s Topological Degree for non Compact Valued Multifunctions cover
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Abstract

We present a direct construction of a topological degree for multivalued vector fields IF 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.

Cite this article

Francesco S. De Blasi, Pando Gr. Georgiev, Hukuhara’s Topological Degree for non Compact Valued Multifunctions. Publ. Res. Inst. Math. Sci. 39 (2003), no. 1, pp. 183–203

DOI 10.2977/PRIMS/1145476153