On the existence of solution of the equation and a generalized coincidence degree theory. II.
Enayet U, Tarafdar (1981)
Commentationes Mathematicae Universitatis Carolinae
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Enayet U, Tarafdar (1981)
Commentationes Mathematicae Universitatis Carolinae
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Irena Rachůnková (1991)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Irena Rachůnková (1991)
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Czechoslovak Mathematical Journal
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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 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.