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On the Palais-Smale condition for Hammerstein integral equations in Hilbert spaces. (English) Zbl 1042.47530

MSC:
47H30 Particular nonlinear operators (superposition, Hammerstein, Nemytskiń≠, Uryson, etc.)
45N05 Abstract integral equations, integral equations in abstract spaces
47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
47J30 Variational methods involving nonlinear operators
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