General regularized nonconvex mixed equilibrium problems: iterative methods by auxiliary principle technique

DOI10.1007/s12215-019-00466-5OpenAlexW2995442732MaRDI QIDQ2657381

Javad Balooee, Yeol Je Cho

Publication date: 12 March 2021

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-019-00466-5

zbMATH Keywords

convergence analysispredictor-corrector methodsauxiliary principle techniqueprox-regularitynonconvex setsgeneralized regularized nonconvex mixed equilibrium problems

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Numerical optimization and variational techniques (65K10) Variational inequalities (49J40) Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Numerical methods for variational inequalities and related problems (65K15)

Cites Work

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• Projection method approach for general regularized non-convex variational inequalities
• Existence of equilibria in complete metric spaces
• Some generalizations of Ekeland-type variational principle with applications to equilibrium problems and fixed point theory
• Strong convergence theorem for a generalized equilibrium problem and a nonexpansive mapping in a Hilbert space
• On p-convex sets and geodesics
• General strongly nonlinear variational inequalities
• The existence of nonlinear inequalities
• Existence results on the second-order nonconvex sweeping processes with perturbations
• An algorithmic approach to prox-regular variational inequalities
• Regularized nonconvex mixed variational inequalities: auxiliary principle technique and iterative methods
• Predictor-corrector methods for general regularized nonconvex variational inequalities
• Generalized monotone bifunctions and equilibrium problems
• Existence Theorems for Generalized Noncoercive Equilibrium Problems: The Quasi-Convex Case
• Mixed quasi regularized variational inequalities
• Optimization and nonsmooth analysis
• Local differentiability of distance functions
• Some remarks on regularized multivalued nonconvex equilibrium problems

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