On general over-relaxed proximal point algorithm and applications

DOI10.1080/02331930903499675zbMath1233.90279OpenAlexW2139957070MaRDI QIDQ3093080

Ram U. Verma

Publication date: 12 October 2011

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331930903499675

zbMATH Keywords

maximal monotone mappingvariational inclusionsgeneralized resolvent operator\(H\)-maximal monotone mappingover-relaxed \(H\)-proximal point algorithm

Mathematics Subject Classification ID

Programming in abstract spaces (90C48)

Related Items (5)

Approximation solvability of a class of \(A\)-monotone implicit variational inclusion problems in semi-inner product spaces ⋮ On over-relaxed \((A,{\eta},m)\)-proximal point algorithm frameworks with errors and applications to general variational inclusion problems ⋮ Convergence analysis of new over-relaxed proximal point algorithm frameworks with errors and applications to general \( A\)-monotone nonlinear inclusion forms ⋮ Unnamed Item ⋮ Approximation solvability for a system of implicit nonlinear variational inclusions with \(H\)-monotone operators

Cites Work

• The over-relaxed proximal point algorithm based on \(H\)-maximal monotonicity design and applications
• Approximation solvability of a class of nonlinear set-valued variational inclusions involving \((A,\eta )\)-monotone mappings
• Monotone Operators and the Proximal Point Algorithm
• Augmented Lagrangians and Applications of the Proximal Point Algorithm in Convex Programming
• Local Convergence of the Proximal Point Algorithm and Multiplier Methods Without Monotonicity

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