A projection algorithm for solving pseudomonotone equilibrium problems and it's application to a class of bilevel equilibria
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Publication:4981871
DOI10.1080/02331934.2013.773329zbMath1317.65152OpenAlexW1522980226MaRDI QIDQ4981871
Publication date: 20 March 2015
Published in: Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/02331934.2013.773329
algorithmprojection methodKy Fan inequalityArmijo line searchauxiliary subproblem principlebilevel equilibriapseudomonotone equilibria
Convex programming (90C25) Variational inequalities (49J40) Numerical methods based on nonlinear programming (49M37) Discrete approximations in optimal control (49M25) Numerical methods for variational inequalities and related problems (65K15)
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Cites Work
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- Weak and strong convergence theorems for a nonexpansive mapping and an equilibrium problem
- Proximal methods for a class of bilevel monotone equilibrium problems
- Regularization algorithms for solving monotone Ky Fan inequalities with application to a Nash-Cournot equilibrium model
- An iterative row-action method for interval convex programming
- A global optimization method for solving convex quadratic bilevel programming problems
- Gap functions for equilibrium problems
- Convergence of an adaptive penalty scheme for finding constrained equilibria
- A New Projection Method for Variational Inequality Problems
- A variant of korpelevich’s method for variational inequalities with a new search strategy
- Extragradient algorithms extended to equilibrium problems¶
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