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Nonlinear equations in Hilbert space. (Russian) Zbl 0607.47066
An existence theorem for nonlinear equations of the form \(F(x)+G(x)=0\) in a Hilbert space H is proved in the work. Here \(F: H\to H\) is a hemicontinuous potential and monotone operator and \(G: H\to H\) is a completely continuous operator. The result is a generalization of a theorem due to F. Browder.
Reviewer: St.Tersian
MSC:
47J05 Equations involving nonlinear operators (general)
47H05 Monotone operators and generalizations
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