Global invertibility of mappings between Banach spaces and applications to nonlinear equations
classification
🧮 math.FA
math.AP
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applicationsbanachequationsmappingspacesalgebraicapproachauxiliary
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We provide sufficient conditions for a mapping between two Banach spaces to be a diffeomorphism using the approach of an auxiliary functional and also by the aid of a duality mapping corresponding to a normalization function. We simplify and generalize our previous results. Applications to algebraic equations and to integro-differential systems are also given.
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