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On a generalized fixed point degree for a class of multi-valued mappings.
by
N. M. Benkafadar
University of Constantine, Faculty of Sciences, Department of Mathematics.
The note is devoted to the construction of a degree for a new class of multi-valued mappings F called r-admissible. For this purpose, one uses homological methods. This kind of problem is studied by many authors Borisovitch, Gorniewicz, Granas, Kucharski, Gel'man and others. As a classical degree, one of the main statement infers that if the generalized fixed point degree of a r-admissible multi-valued mapping F is different from zero so F admits at least a fixed point.
Date received: March 4, 2000
Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caeh-03.