A new relaxed proximal point procedure and applications to nonlinear variational inclusions

DOI10.1016/J.CAMWA.2009.07.011zbMath1189.49015OpenAlexW2085852156MaRDI QIDQ979884

Ram U. Verma

Publication date: 28 June 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2009.07.011

zbMATH Keywords

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

Mathematics Subject Classification ID

Variational inequalities (49J40) Iterative procedures involving nonlinear operators (47J25) Numerical methods for variational inequalities and related problems (65K15)

Related Items (2)

Revisit the over-relaxed proximal point algorithm ⋮ About the relaxed cocoercivity and the convergence of the proximal point algorithm

Cites Work

• On a new system of nonlinear \(A\)-monotone multivalued variational inclusions
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• General system of \(A\)-monotone nonlinear variational inclusion problems with applications
• Role of relative \(A\)-maximal monotonicity in overrelaxed proximal-point algorithms with Applications
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• \(A\)-monotonicity and applications to nonlinear variational inclusion problems
• The primal Douglas-Rachford splitting algorithm for a class of monotone mappings with application to the traffic equilibrium problem
• A-monotone nonlinear relaxed cocoercive variational inclusions
• Approximation solvability of a class of nonlinear set-valued variational inclusions involving \((A,\eta )\)-monotone mappings
• Sensitivity analysis for generalized strongly monotone variational inclusions based on the \((A,\eta )\)-resolvent operator technique
• A new system of variational inclusions with \((H,\eta)\)-monotone operators in Hilbert spaces
• General system of \((A,\eta )\)-monotone variational inclusion problems based on generalized hybrid iterative algorithm
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• Augmented Lagrangians and Applications of the Proximal Point Algorithm in Convex Programming
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• A Modified Forward-Backward Splitting Method for Maximal Monotone Mappings
• A class of projection-contraction methods applied to monotone variational inequalities
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