Saddle point problems, bilevel problems, and mathematical program with equilibrium constraint on complete metric spaces

DOI10.1155/2010/306403zbMath1189.90172OpenAlexW2087292940WikidataQ59250193 ScholiaQ59250193MaRDI QIDQ962486

Lai-Jiu Lin, Chih-Sheng Chuang

Publication date: 7 April 2010

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

Full work available at URL: https://eudml.org/doc/232423

zbMATH Keywords

topological vector spacesvariational inclusion problem

Mathematics Subject Classification ID

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

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Cites Work

• Mathematical programs with vector optimization constraints
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• Cone metric spaces and fixed point theorems of contractive mappings
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• Mathematical programming with system of equilibrium constraints
• Existence theorems for variational inclusion problems and the set-valued vector Ekeland variational principle in a complete metric space
• Generalized quasiconvexities, cone saddle points, and minimax theorem for vector-valued functions
• System of coincidence theorems with applications.
• Bi-level strategies in semi-infinite programming.
• On generalized semi-infinite optimization and bilevel optimization
• Loose saddle points of set-valued maps in topological vector spaces
• The strong minimax theorem and strong saddle points of vector-valued functions
• Existence theorem of cone saddle-points applying a nonlinear scalarization
• Existence theorems of simultaneous equilibrium problems and generalized vector quasi-saddle points
• Equilibrium constrained optimization problems
• Mathematical programs with equilibrium constraints: the existence of feasible point
• A saddlepoint theorem for set-valued maps
• An Existence Theorem in Vector Optimization
• Mathematical Programs with Equilibrium Constraints

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