Apreutesei, N.; Apreutesei, G. A Trotter-Kato type result for a second order difference inclusion in a Hilbert space. (English) Zbl 1181.47066 J. Math. Anal. Appl. 361, No. 1, 195-204 (2010). A Trotter-Kato type result is proved for the following boundary value problem: \[ u_{i + 1} - (1 + \theta_{i}) u_{i} + \theta_{i} u_{i - 1} \in c_{i} A u_{i} + f_{i} \quad (i = 1,2,\dots), \]\[ u_{1} - u_{0} \in \alpha (u_{0} - a), \] where \(A\) and \(\alpha\) are nonlinear maximal monotone operators (possibly multivalued) in a real Hilbert space, \(a,f_{i} \in \mathcal{H}\) and \(c_{i} > 0, \;0 < \theta_{i} < 1\) \((i = 1,2,\dots).\) Reviewer: Petru A. Cojuhari (Kraków) Cited in 5 Documents MSC: 47J22 Variational and other types of inclusions 47H05 Monotone operators and generalizations Keywords:maximal monotone operator; strongly monotone operator; resolvent; Yosida approximation; resolvent convergence PDFBibTeX XMLCite \textit{N. Apreutesei} and \textit{G. Apreutesei}, J. Math. Anal. 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