Gap functions and existence of solutions for a system of vector equilibrium problems
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Publication:946296
DOI10.1007/s10957-007-9202-4zbMath1146.49005OpenAlexW2011212367MaRDI QIDQ946296
Jen-Chih Yao, Nan-Jing Huang, Jun Li
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/s10957-007-9202-4
Variational inequalities (49J40) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)
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Cites Work
- Unnamed Item
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- On generalized vector pre-variational and pre-quasivariational inequalities
- Implicit vector equilibrium problems with applications
- The system of generalized vector equilibrium problems with applications
- Existence results for systems of strong implicit vector variational inequalities
- Gap functions and existence of solutions to generalized vector variational inequalities
- Combined relaxation method for mixed equilibrium problems
- Vector equilibrium problems with generalized monotone bifunctions
- A generalization of vectorial equilibria
- Simultaneous vector variational inequalities and vector implicit complementarity problem
- A remark on vector-valued equilibria and generalized monotonicity
- From scalar to vector equilibrium problems in the quasimonotone case
- On implicit vector equilibrium problems.
- Existence theory for finite-dimensional pseudomonotone equilibrium problems
- On the gap functions of prevariational inequalities
- Equilibrium problems with applications to eigenvalue problems
- Vector equilibrium problems under asymptotic analysis
- Gap functions for equilibrium problems
- Some generalized vector variational inequalities and complementarity problems for multivalued mappings
- Vector variational inequalities and vector equilibria. Mathematical theories
- Gap functions and existence of solutions to set-valued vector variational inequalities
- On noncooperative vector equilibrium
- System of vector equilibrium problems and its applications
- Complementarity, equilibrium, efficiency and economics
- Solutions of system of generalized vector quasi-equilibrium problems in locally \(G\)-convex uniform spaces
- An existence result for the generalized vector equilibrium problem
- Convergence of hybrid steepest-descent methods for generalized variational inequalities
- A proximal method for pseudomonotone type variational-like inequalities
- Auxiliary problem method for mixed variational-like inequalities
- Generalized vector quasi-variational inequality problems over product sets
- A nonlinear scalarization function and generalized quasi-vector equilibrium problems
- Generalized vector quasi-equilibrium problems
- The study of maximal elements, fixed points for -majorized mappings and their applications to minimax and variational inequalities in product topological spaces
- On the existence of equilibrium points of vector functions
- Vector equilibrium type problems with (S)+-conditions
- Characterizations of variable domination structures via nonlinear scalarization
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