Mathematical programs with equilibrium constraints: the existence of feasible point

DOI10.1080/02331930600703635zbMath1124.90033OpenAlexW2088485085MaRDI QIDQ3446575

Lai-Jiu Lin, Georg Still

Publication date: 19 June 2007

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331930600703635

Mathematics Subject Classification ID

Nonlinear programming (90C30) Set-valued and variational analysis (49J53) Semi-infinite programming (90C34)

Related Items (12)

Systems of variational inclusion problems and differential inclusion problems with applications ⋮ Generalized vector quasi-equilibrium problems with applications to common fixed point theorems and optimization problems ⋮ Variational inclusions problems with applications to Ekeland's variational principle, fixed point and optimization problems ⋮ Existence theorems for bilevel problem with applications to mathematical program with equilibrium constraint and semi-infinite problem ⋮ Systems of generalized quasivariational inclusions problems with applications to variational analysis and optimization problems ⋮ Saddle point problems, bilevel problems, and mathematical program with equilibrium constraint on complete metric spaces ⋮ Systems of equilibrium problems with applications to new variants of Ekeland's variational principle, fixed point theorems and parametric optimization problems ⋮ Existence theorems of systems of variational inclusion problems with applications ⋮ Existences theorems of systems of vector quasi-equillibrium problems and mathematical programs with equilibrium constraint ⋮ Mathematical programming with system of equilibrium constraints ⋮ Existence theorems of quasivariational inclusion problems with applications to bilevel problems and mathematical programs with equilibrium constraint ⋮ Well-posedness for equilibrium problems and for optimization problems with equilibrium constraints

Cites Work

• Unnamed Item
• On general minimax theorems
• Geometric properties and coincidence theorems with applications to generalized vector equilibrium problems
• Bi-level strategies in semi-infinite programming.
• KKM property and fixed point theorems
• On generalized semi-infinite optimization and bilevel optimization
• Equilibrium constrained optimization problems
• On some equilibrium problems for multimaps

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