JournalsprimsVol. 39 , No. 1DOI 10.2977/prims/1145476153

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

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.