Equivalence of equilibrium problems and least element problems

DOI10.1007/s10957-007-9186-0zbMath1176.49007OpenAlexW2051260968MaRDI QIDQ946323

Ya-Ping Fang, Nan-Jing Huang

Publication date: 23 September 2008

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

Full work available at URL: https://doi.org/10.1007/s10957-007-9186-0

zbMATH Keywords

equilibrium problemsfeasible sets\(Z\)-functionleast element problemsstrictly monotone functions

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)

Related Items

Mixed equilibrium problems with \(Z^*\)-bifunctions and least element problems in Banach lattices ⋮ A characterization of nonemptiness and boundedness of the solution sets for equilibrium problems ⋮ Equilibrium and least element problems for multivalued functions ⋮ Feasibility-solvability theorem for a generalized system

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
• Vector equilibrium problems with generalized monotone bifunctions
• A remark on vector-valued equilibria and generalized monotonicity
• From scalar to vector equilibrium problems in the quasimonotone case
• On the equivalence of extended generalized complementarity and generalized least-element problems
• On the equivalence of nonlinear complementarity problems and least-element problems
• Topological methods in complementarity theory
• Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
• Equivalence of Linear Complementarity Problems and Linear Programs in Vector Lattice Hilbert Spaces
• Simplified Characterizations of Linear Complementarity Problems Solvable as Linear Programs
• Equivalence of Nonlinear Complementarity Problems and Least Element Problems in Banach Lattices
• Linear complementarity problems solvable by A single linear program
• Characterization of linear complementarity problems as linear programs
• A Least-Element Theory of Solving Linear Complementarity Problems as Linear Programs
• Variational inequalities