New approach to relaxed proximal point algorithms based on \(A\)-maximal monotonicity frameworks and applications (Q2850042)

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scientific article; zbMATH DE number 6212298
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New approach to relaxed proximal point algorithms based on \(A\)-maximal monotonicity frameworks and applications
scientific article; zbMATH DE number 6212298

    Statements

    26 September 2013
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    generalized resolvent operator
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    maximal monotone mapping
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    proximal point algorithm
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    variational inclusion
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    New approach to relaxed proximal point algorithms based on \(A\)-maximal monotonicity frameworks and applications (English)
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    The authors propose and analyze a proximal-type algorithm for solving a class of inclusion problems in Hilbert space which involve certain nonlinear set-valued operators of monotone type. They establish linear convergence of the sequence generated by their algorithm and provide a convergence rate estimate.
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