Generalized over-relaxed proximal algorithm based ona-maximal monotonicity framework and applications to inclusion problems

DOI10.1016/j.mcm.2008.05.045zbMath1165.49303OpenAlexW2032905505MaRDI QIDQ2390187

Ram U. Verma

Publication date: 21 July 2009

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2008.05.045

zbMATH Keywords

maximal monotone mappingvariational inclusionsgeneralized resolvent operator\(A\)-maximal monotone mapping

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Monotone operators and generalizations (47H05) Numerical analysis in abstract spaces (65J99)

Related Items (8)

Graph-convergent analysis of over-relaxed \((A, \eta, m)\)-proximal point iterative methods with errors for general nonlinear operator equations ⋮ Revisit the over-relaxed proximal point algorithm ⋮ Convergence analysis of new over-relaxed proximal point algorithm frameworks with errors and applications to general \( A\)-monotone nonlinear inclusion forms ⋮ General over-relaxed proximal point algorithm involving \(A\)-maximal relaxed monotone mappings with applications ⋮ Total asymptotically nonexpansive mappings and generalized variational-like inclusion problems in semi-inner product spaces ⋮ On the convergence rate of the over-relaxed proximal point algorithm ⋮ General implicit variational inclusion problems based on \(A\)-maximal (\(m\))-relaxed monotonicity (AMRM) frameworks ⋮ Role of relative \(A\)-maximal monotonicity in overrelaxed proximal-point algorithms with Applications

Cites Work

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