General projection systems and relaxed cocoercive nonlinear variational inequalities

DOI10.1017/S1446181100012785zbMath1147.49010MaRDI QIDQ3505056

Ram U. Verma

Publication date: 18 June 2008

Published in: The ANZIAM Journal (Search for Journal in Brave)

zbMATH Keywords

relaxed cocoercive mappingsprojection systemapproximation solvabilitysystem of nonlinear relaxed cocoercive variational inequalities

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Variational inequalities (49J40) Extrapolation to the limit, deferred corrections (65B05)

Related Items (4)

New approach to the \(\eta \)-proximal point algorithm and nonlinear variational inclusion problems ⋮ General system of \((A,\eta )\)-maximal relaxed monotone variational inclusion problems based on generalized hybrid algorithms ⋮ General implicit variational inclusion problems based on \(A\)-maximal (\(m\))-relaxed monotonicity (AMRM) frameworks ⋮ Super-relaxed \((\eta)\)-proximal point algorithms, relaxed \((\eta)\)-proximal point algorithms, linear convergence analysis, and nonlinear variational inclusions

Cites Work

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• General convergence analysis for two-step projection methods and applications to variational problems
• Generalized nonlinear variational-like inequalities
• Approximation of fixed points of nonexpansive mappings
• Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces
• Nonlinear Variational and Constrained Hemivariational Inequalities Involving Relaxed Operators
• Projection methods, algorithms, and a new system of nonlinear variational inequalities

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