An algorithmic approach to prox-regular variational inequalities

DOI10.1016/j.amc.2003.06.003zbMath1062.65071OpenAlexW2009467362MaRDI QIDQ1883536

Abdellatif Moudafi

Publication date: 13 October 2004

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2003.06.003

zbMATH Keywords

convergenceLipschitz continuityprox-regularityproximal mappingnoncovex variational inequalityprox-gradient method

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Variational inequalities (49J40)

Related Items (10)

Regularized nonconvex mixed variational inequalities: auxiliary principle technique and iterative methods ⋮ General regularized nonconvex mixed equilibrium problems: iterative methods by auxiliary principle technique ⋮ Perturbed projection and iterative algorithms for a system of general regularized nonconvex variational inequalities ⋮ Projection methods and a new system of extended general regularized nonconvex set-valued variational inequalities ⋮ Existence theorems for quasivariational inequality problem on proximally smooth sets ⋮ On the difference of two maximal monotone operators: Regularization and algorithmic approaches ⋮ Iterative algorithms for systems of extended regularized nonconvex variational inequalities and fixed point problems ⋮ Iterative schemes for nonconvex variational inequalities. ⋮ Projection methods for a system of nonconvex variational inequalities ⋮ Auxiliary principle technique for solving regularized nonconvex set-valued mixed variational inequalities

Cites Work

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• Proximal point methods and nonconvex optimization
• Submonotone mappings and the proximal point algorithm
• Variational Analysis
• Prox-regular functions in variational analysis
• Local Convergence of the Proximal Point Algorithm and Multiplier Methods Without Monotonicity

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