On a class of nonconvex equilibrium problems

DOI10.1016/j.amc.2003.08.061zbMath1070.65053OpenAlexW1983444619MaRDI QIDQ1888241

Muhammad Aslam Noor

Publication date: 23 November 2004

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

Full work available at URL: https://doi.org/10.1016/j.amc.2003.08.061

zbMATH Keywords

convergencevariational inequalitiesHilbert spaceiterative algorithmsauxiliary problem principleequilibrium problemsMinty lemma

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Variational inequalities (49J40) Existence theories for problems in abstract spaces (49J27)

Related Items

General equilibrium bifunction variational inequalities ⋮ A proximal method for equilibrium problems under growth conditions ⋮ Implicit methods for equilibrium problems on Hadamard manifolds ⋮ On a predictor-corrector method for solving invex equilibrium problems ⋮ Vector nonsmooth variational-like inequalities and optimization problems ⋮ Invex equilibrium problems ⋮ Mixed equilibrium problems and optimization problems ⋮ On nonconvex equilibrium problems

Cites Work

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• Unnamed Item
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• General equilibrium bifunction variational inequalities
• Auxiliary principle technique for equilibrium problems
• General variational inequalities
• Some aspects of variational inequalities
• Multivalued general equilibrium problems.
• Gap functions for equilibrium problems
• New approximation schemes for general variational inequalities
• Non-connected convexities and applications
• \(E\)-convex sets, \(E\)-convex functions, and \(E\)-convex programming
• Some developments in general variational inequalities
• On linear convergence of iterative methods for the variational inequality problem
• Some properties of “well–posed” variational. inequalities governed by linear operators
• A characterization of tyhonov well-posedness for minimum problems, with applications to variational inequalities^(∗)
• Monotone Operators and the Proximal Point Algorithm
• Well-posed hemivariational inequalities
• Co-Coercivity and Its Role in the Convergence of Iterative Schemes for Solving Variational Inequalities
• Variational inequalities

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