Bilevel mixed equilibrium problems in Banach spaces: existence and algorithmic aspects

DOI10.3934/naco.2011.1.549zbMath1272.47074OpenAlexW2060759292MaRDI QIDQ428499

Jen-Chih Yao, Ouayl Chadli, Hicham Mahdioui

Publication date: 22 June 2012

Published in: Numerical Algebra, Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/naco.2011.1.549

zbMATH Keywords

monotonicityvariational inequalitiesauxiliary principleequilibrium problemsbilevel programming

Mathematics Subject Classification ID

Nonlinear programming (90C30) Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Monotone operators and generalizations (47H05) Methods involving semicontinuity and convergence; relaxation (49J45) Numerical methods of relaxation type (49M20)

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Bilevel invex equilibrium problems with applications ⋮ Bilevel multi-objective construction site security planning with twofold random phenomenon ⋮ Behavior of solution set for bilevel generalized mixed equilibrium problems in topological vector spaces ⋮ On bilevel variational inequalities

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