An algorithm for a class of bilevel split equilibrium problems: application to a differentiated Nash-Cournot model with environmental constraints

DOI10.1080/02331934.2018.1545838zbMath1421.90149OpenAlexW2902390551MaRDI QIDQ4631820

Nguyen Van Quy

Publication date: 23 April 2019

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331934.2018.1545838

zbMATH Keywords

strong convergencebilevel optimizationsplit equilibrium problemjointly constrained differentiated Nash-Cournot model

Mathematics Subject Classification ID

Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Related Items (5)

A Hybrid Viscosity Approximation Method for a Common Solution of a General System of Variational Inequalities, an Equilibrium Problem, and Fixed Point Problems ⋮ Resolvent-Mann-type algorithm for bilevel problems with split feasibility problem constraint ⋮ Strong convergence theorem for a general system of variational inequalities, equilibrium problems, and fixed point problems ⋮ A self-adaptive extragradient-CQ method for a class of bilevel split equilibrium problem with application to Nash Cournot oligopolistic electricity market models ⋮ Bilevel Optimization: Theory, Algorithms, Applications and a Bibliography

Cites Work

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• A Hybrid Extragradient-Viscosity Method for Monotone Operators and Fixed Point Problems
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• Extragradient algorithms extended to equilibrium problems¶

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