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A new inertial-type hybrid projection-proximal algorithm for monotone inclusions - MaRDI portal

A new inertial-type hybrid projection-proximal algorithm for monotone inclusions (Q846404)

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scientific article; zbMATH DE number 5667960
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A new inertial-type hybrid projection-proximal algorithm for monotone inclusions
scientific article; zbMATH DE number 5667960

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    A new inertial-type hybrid projection-proximal algorithm for monotone inclusions (English)
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    9 February 2010
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    The authors study a new proximal-type algorithm with interesting practical features and convergence properties for solving the following inclusion problem: find \(x\in H\) such that \(0\in A(x)\), where \(H\) is a real Hilbert space and \(A\) is a maximal monotone operator. An application to systems of nonlinear equations is given.
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    convex minimization
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    maximal monotone operator
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    proximal point algorithm
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    inexact computations
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    inertial extrapolation
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    inexact Newton method
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