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arxiv: 1308.2778 · v1 · pith:QMDCFOKLnew · submitted 2013-08-13 · 🧮 math.OC

A splitting algorithm for system of composite monotone inclusions

classification 🧮 math.OC
keywords algorithmcompositeinclusionsmonotonesplittingsystemapplicationsconvergence
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We propose a splitting algorithm for solving a system of composite monotone inclusions formulated in the form of the extended set of solutions in real Hilbert spaces. The resluting algorithm is a an extension of the algorithm in [4]. The weak convergence of the algorithm proposed is proved. Applications to minimization problems is demonstrated.

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