Weakly coercive mappings sharing a value |
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| Authors: | J M Soriano |
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| Institution: | (1) Mathematical Reviews, American Mathematical Society, 416 Fourth Street, Ann Arbor, 48105, Church Street, MI, USA;(2) Department of Mathematics, University of Washington, PO Box 354350, Seattle, WA 98195-4350, USA |
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| Abstract: | Some sufficient conditions are provided that guarantee that the difference of a compact mapping and a proper mapping defined
between any two Banach spaces over $
\mathbb{K}
$
\mathbb{K}
has at least one zero. When conditions are strengthened, this difference has at most a finite number of zeros throughout
the entire space. The proof of the result is constructive and is based upon a continuation method. |
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| Keywords: | |
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