Implicit functions, nonlinear integral equations, and the measure of noncompactness of the superposition operator. (English) Zbl 0495.45007


45G10 Other nonlinear integral equations
45P05 Integral operators
47H10 Fixed-point theorems
47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
58C15 Implicit function theorems; global Newton methods on manifolds
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