Geodesic
On the homotopy property of degree for multivalued noncompact maps
Glasgow mathematical journal, Tome 21 (1980) no. 1, pp. 125-130

Voir la notice de l'article provenant de la source Cambridge University Press

Over the last few years, various extensions of the topological degree of a mapping have been made so as to include non-compact perturbations of the identity. One such extension, which employs compactness conditions, has been to the class of limit compact maps which were extensively studied by Sadovsky [7]. The class is a large one as it contains all compact mappings, contraction mappings and, more generally, condensing mappings. Sadovsky [7] gives a theory of degree for maps of the form I-f, where f is limit compact, and this was extended independently and with different methods by Petryshyn and Fitzpatrick [4] and the author [9] to allow f to be a multi-valued mapping. A refinement of the methods of [9] was given by Vanderbauwhede [8]. 
Webb, J. R. L. On the homotopy property of degree for multivalued noncompact maps. Glasgow mathematical journal, Tome 21 (1980) no. 1, pp. 125-130. doi: 10.1017/S0017089500004079
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