LP well-posedness for bilevel vector equilibrium and optimization problems with equilibrium constraints

DOI10.1155/2014/792984zbMath1474.90461OpenAlexW2024357668WikidataQ59041529 ScholiaQ59041529MaRDI QIDQ1724987

Kamonrat Sombut, Phan Quoc Khanh, Somyot Plubtieng

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/792984

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Multi-objective and goal programming (90C29) Sensitivity, stability, parametric optimization (90C31) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Programming in abstract spaces (90C48)

Related Items (4)

Levitin-Polyak well-posedness for strong bilevel vector equilibrium problems and applications to traffic network problems with equilibrium constraints ⋮ Well-posedness for bilevel vector equilibrium problems with variable domination structures ⋮ Levitin-Polyak well-posedness for bilevel vector variational inequalities ⋮ Levitin–Polyak well-posedness of generalized bilevel equilibrium problem with perturbations

Cites Work

• Well-posedness under relaxed semicontinuity for bilevel equilibrium and optimization problems with equilibrium constraints
• Approximations and well-posedness in multicriteria games
• Levitin-Polyak well-posedness of constrained vector optimization problems
• Levitin-polyak well-posedness of vector equilibrium problems
• Characterizations of linear suboptimality for mathematical programs with equilibrium constraints
• Hadamard and Tyhonov well-posedness of a certain class of convex functions
• Metric characterizations of Tikhonov well-posedness in value
• Vector equilibrium problems with generalized monotone bifunctions
• Well-posedness for optimization problems with constraints defined by variational inequalities having a unique solution
• Vector variational inequalities and vector equilibria. Mathematical theories
• Generalized vector quasi-equilibrium problems with applications
• An existence result for the generalized vector equilibrium problem
• Well-posedness for vector quasi-equilibrium problems with applications
• Levitin-Polyak well-posedness of generalized vector quasi-equilibrium problems
• \(\alpha\)-well-posedness for Nash equilibria and for optimization problems with Nash equilibrium constraints
• Necessary conditions in multiobjective optimization with equilibrium constraints
• Parametric well-posedness for variational inequalities defined by bifunctions
• Vector optimization. Set-valued and variational analysis.
• Gap functions and existence of solutions to generalized vector quasi-equilibrium problems
• A nonlinear scalarization function and generalized quasi-vector equilibrium problems
• Well-posedness and \(L\)-well-posedness for quasivariational inequalities
• Generalized vector quasi-equilibrium problems
• A characterization of tyhonov well-posedness for minimum problems, with applications to variational inequalities^(∗)
• The EPI-Distance Topology: Continuity and Stability Results with Applications to Convex Optimization Problems
• Constrained convex optimization problems-well-posedness and stability^*
• A New Approach To Tikhonov Well-Posedness For Nash Equilibria^∗
• A Generalized Mathematical Program with Equilibrium Constraints
• On the stability of the functional optimization problem
• On the Tikhonov well-posedness of concave games and Cournot oligopoly games
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: LP well-posedness for bilevel vector equilibrium and optimization problems with equilibrium constraints