ISSN:
1573-0530
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Physics
Notes:
Abstract It is proved that the unit sphere S in a Banach space E has the fixed-point property with respect to a large class, C, of noncompact upper-semicontinuous set-valued maps. The result is combined with an extension of the famous Borsuk-Ulam theorem to vector fields, Φ, where the perturbation of the identity is an element of C.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00398148
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