Document Zbl 1150.47351

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Teodorescu, Dinu

A contractive method for a semilinear equation in Hilbert spaces. (English) Zbl 1150.47351

An. Univ. Bucur., Mat. 54, No. 2, 289-292 (2005).

Summary: In this note, we establish an existence and uniqueness result for the semilinear equation \(Au+F(u)=f\), where \(A\) is a linear maximal monotone and strongly positive operator and the nonlinearity \(F\) is a Lipschitz operator.

Cited in 1 Review

Cited in 2 Documents

MSC:

47H06	Nonlinear accretive operators, dissipative operators, etc.
47H10	Fixed-point theorems

Keywords:

strongly positive operator; Lipschitz operator; maximal monotone operator

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