On Rockafellar's theorem using proximal point algorithm involving \(H\)-maximal monotonicity framework

DOI10.1016/j.nahs.2008.09.001zbMath1163.49008OpenAlexW2010796356MaRDI QIDQ1026379

Ram U. Verma

Publication date: 24 June 2009

Published in: Nonlinear Analysis. Hybrid Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nahs.2008.09.001

zbMATH Keywords

maximal monotone mappingnonexpansivefirmly nonexpansivegeneralized resolvent operatorinclusion problems\(H\)-maximal monotone mapping

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40)

Cites Work

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• Generalized nonlinear variational-like inequalities
• On a new system of nonlinear \(A\)-monotone multivalued variational inclusions
• \(A\)-monotonicity and its role in nonlinear variational inclusions
• Composition duality and maximal monotonicity
• The perturbed proximal point algorithm and some of its applications
• \(H\)-monotone operator and resolvent operator technique for variational inclusions
• Linear convergence of epsilon-subgradient descent methods for a class of convex functions
• A-monotone nonlinear relaxed cocoercive variational inclusions
• Approximation solvability of a class of nonlinear set-valued variational inclusions involving \((A,\eta )\)-monotone mappings
• A new system of variational inclusions with \((H,\eta)\)-monotone operators in Hilbert spaces
• On the maximal monotonicity of subdifferential mappings
• An Inexact Hybrid Generalized Proximal Point Algorithm and Some New Results on the Theory of Bregman Functions
• Perturbed algorithm and stability for strongly nonlinear quasi-variational inclusion involving H-accretive operators
• Applications of a Splitting Algorithm to Decomposition in Convex Programming and Variational Inequalities
• Monotone Operators and the Proximal Point Algorithm
• Augmented Lagrangians and Applications of the Proximal Point Algorithm in Convex Programming
• Variational Analysis
• Alternating Projection-Proximal Methods for Convex Programming and Variational Inequalities
• A Modified Forward-Backward Splitting Method for Maximal Monotone Mappings