On Global Solvability of Nonlinear Equations with Parameters

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چکیده

Abstract We consider smooth mappings acting from one Banach space to another and depending on a parameter belonging topological space. Under various regularity assumptions, sufficient conditions for the existence of global semilocal continuous inverse implicit functions are obtained. applications these results problem extension coincidence points compact mappings.

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ژورنال

عنوان ژورنال: Doklady Mathematics

سال: 2021

ISSN: ['1064-5624', '1531-8362']

DOI: https://doi.org/10.1134/s1064562421010014