A Degree Theory, Fixed Point Theorems, and Mapping Theorems for Multivalued Noncompact Mappings
Open Access
- 1 July 1974
- journal article
- Published by JSTOR in Transactions of the American Mathematical Society
- Vol. 194, 1-25
- https://doi.org/10.2307/1996791
Abstract
We define and study the properties of a topological degree for ultimately compact, multivalued vector fields defined on the closures of open subsets of certain locally convex topological vector spaces. In addition to compact mappings, the class of ultimately compact mappings includes condensing mappings, generalized condensing mappings, perturbations of compact mappings by certain Lipschitz-type mappings, and others. Using this degree we obtain fixed point theorems and mapping theorems.Keywords
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