Inexact \(A\)-proximal point algorithm and applications to nonlinear variational inclusion problems

DOI10.1007/s10957-009-9615-3zbMath1189.49021OpenAlexW1983763728MaRDI QIDQ965049

Ravi P. Agarwal, Ram U. Verma

Publication date: 21 April 2010

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-009-9615-3

zbMATH Keywords

maximal monotone mappinggeneralized resolvent operatorinclusion problems\(A\)-maximal relaxed monotone mapping

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Monotone operators and generalizations (47H05) Set-valued and variational analysis (49J53)

Related Items

On over-relaxed \((A,{\eta},m)\)-proximal point algorithm frameworks with errors and applications to general variational inclusion problems ⋮ Convergence of a proximal point algorithm for maximal monotone operators in Hilbert spaces ⋮ About the relaxed cocoercivity and the convergence of the proximal point algorithm ⋮ Relatively maximal monotone mappings and applications to general inclusions ⋮ A new splitting method for monotone inclusions of three operators ⋮ Relatively inexact proximal point algorithm and linear convergence analysis

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