Optimality conditions for generalized Ky Fan quasi-inequalities with applications
From MaRDI portal
Publication:364729
DOI10.1007/s10957-012-0242-zzbMath1282.90185OpenAlexW2090258547MaRDI QIDQ364729
Publication date: 9 September 2013
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10957-012-0242-z
image space analysisgeneralized Ky Fan quasi-inequalitynonlinear (linear) separation functionvector traffic equilibrium problem
Nonlinear programming (90C30) Optimality conditions and duality in mathematical programming (90C46) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)
Related Items (10)
Nonlinear separation functions, optimality conditions and error bounds for Ky Fan quasi-inequalities ⋮ Constrained extremum problems and image space analysis. I: Optimality conditions ⋮ Saddle points and gap functions for weak generalized Ky Fan inequalities ⋮ Nonlinear separation functions and constrained extremum problems ⋮ Gap Functions and Error Bounds for Weak Generalized Ky Fan Inequalities ⋮ Scalarizations and optimality of constrained set-valued optimization using improvement sets and image space analysis ⋮ A new nonlinear scalarization function and applications ⋮ Nonlinear separation approach to inverse variational inequalities ⋮ Existence and generic stability of solutions for multiclass multicriteria traffic equilibrium problems with capacity constraints of arcs ⋮ Optimality conditions for efficient solutions of nonconvex constrained multiobjective optimization problems via image space analysis
Cites Work
- Unnamed Item
- Image space analysis for variational inequalities with cone constraints and applications to traffic equilibria
- On the image space analysis for vector quasi-equilibrium problems with a variable ordering relation
- Characterizations of solutions for vector equilibrium problems
- Gap functions for a system of generalized vector quasi-equilibrium problems with set-valued mappings
- Separation of sets and Wolfe duality
- Some applications of the image space analysis to the duality theory for constrained extremum problems
- The study of traffic equilibrium problems with capacity constraints of arcs
- On regularity for constrained extremum problems. I: Sufficient optimality conditions
- On regularity for constrained extremum problems. II: Necessary optimality conditions
- Image space analysis and scalarization of multivalued optimization
- On the image of a constrained extremum problem and some applications to the existence of a minimum
- Image space approach to penalty methods
- Benson proper efficiency in the vector optimization of set-valued maps
- Regularity conditions for constrained extremum problems via image space
- From scalar to vector equilibrium problems in the quasimonotone case
- On implicit vector equilibrium problems.
- Equilibrium problems with applications to eigenvalue problems
- Vector variational inequalities and vector equilibria. Mathematical theories
- Theorems of the alternative and optimality conditions
- Scalarization and stability in vector optimization
- Generalized vector quasi-equilibrium problems with applications
- Nonlinear separation approach to constrained extremum problems
- An existence result for the generalized vector equilibrium problem
- A separation approach to vector quasi-equilibrium problems: saddle point and gap function
- Vector optimization. Set-valued and variational analysis.
- Constrained optimization and image space analysis. Vol. 1: Separation of sets and optimality conditions
- A nonlinear scalarization function and generalized quasi-vector equilibrium problems
- Extensions of two fixed point theorems of F. E. Browder
- Cones, matrices and mathematical programming
- Characterization of solutions of multiobjective optimization problem
- Generalized vector quasi-equilibrium problems
- Conic separation for vector optimization problems
- Nonlinear separation in the image space with applications to penalty methods
- Tangent Cones, Generalized Gradients and Mathematical Programming in Banach Spaces
- On Lagrance-Kuhn-Tucker Mulitipliers for Muliobjective Optimization Problems
- Degrees of Efficiency and Degrees of Minimality
- On generalized vector equilibrium problems
- Existence and duality of generalized vector equilibrium problems
- On global optimality conditions via separation functions
This page was built for publication: Optimality conditions for generalized Ky Fan quasi-inequalities with applications
