Existence theorems of quasivariational inclusion problems with applications to bilevel problems and mathematical programs with equilibrium constraint

DOI10.1007/s10957-008-9385-3zbMath1159.49015OpenAlexW2157805373MaRDI QIDQ1014007

H. J. Shie, Lai-Jiu Lin

Publication date: 24 April 2009

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-008-9385-3

zbMATH Keywords

bilevel problemsmathematical programs with equilibrium constraintsquasiequilibrium problemquasivariational inclusions problems

Mathematics Subject Classification ID

Semidefinite programming (90C22) Multi-objective and goal programming (90C29) Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)

Related Items (10)

New existence criteria of the solutions for a variational relation problem ⋮ Existence Theorems for a Variational Relation Problem ⋮ On mixed variational relation problems ⋮ A new system of generalized mixed quasivariational inclusions with relaxed cocoercive operators and applications ⋮ Existence and algorithms for bilevel generalized mixed equilibrium problems in Banach spaces ⋮ Bilevel generalized mixed equilibrium problems involving generalized mixed variational-like inequality problems in reflexive Banach spaces ⋮ Existence theorems of systems of variational inclusion problems with applications ⋮ Existence and algorithms for the bilevel new generalized mixed equilibrium problems in Banach spaces ⋮ Systems of generalized vector quasi-variational inclusions and systems of generalized vector quasi-optimization problems in locally \(FC\)-uniform spaces ⋮ Bilevel Optimization: Theory, Algorithms, Applications and a Bibliography

Cites Work

• Existence of maximal elements and equilibria in linear topological spaces
• Existences theorems of systems of vector quasi-equillibrium problems and mathematical programs with equilibrium constraint
• Mathematical programming with system of equilibrium constraints
• Bi-level strategies in semi-infinite programming.
• On the existence of solutions of quasivariational inclusion problems
• On generalized semi-infinite optimization and bilevel optimization
• On quasivariational inclusion problems of type I and related problems
• Equilibrium constrained optimization problems
• Mathematical programs with equilibrium constraints: the existence of feasible point
• An Existence Theorem in Vector Optimization
• Existence conditions in variational inclusions with constraints
• Mathematical Programs with Equilibrium Constraints
• Fixed points of compact multifunctions

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