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Weakly coercive mappings sharing a value

J. M. Soriano (2011)

Czechoslovak Mathematical Journal

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 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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