Duality for multiobjective optimization problems with convex objective functions and D.C. constraints
From MaRDI portal
Publication:819667
DOI10.1016/j.jmaa.2005.06.067zbMath1156.90015OpenAlexW2087510134MaRDI QIDQ819667
Publication date: 29 March 2006
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.06.067
Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46)
Related Items (17)
Farkas-type results for fractional programming problems ⋮ Asymptotic closure condition and Fenchel duality for DC optimization problems in locally convex spaces ⋮ Duality and optimality conditions for reverse convex programs via a convex decomposition ⋮ Necessary optimality conditions for vector reverse convex minimization problems via a conjugate duality ⋮ Stable zero Lagrange duality for DC conic programming ⋮ On economic equilibrium type problems with applications ⋮ An extended conjugate duality for generalized semi-infinite programming problems via a convex decomposition ⋮ Some new Farkas-type results for inequality systems with DC functions ⋮ A general approach for studying duality in multiobjective optimization ⋮ On minimizing difference of a SOS-convex polynomial and a support function over a SOS-concave matrix polynomial constraint ⋮ A duality approach for a class of semivectorial bilevel programming problems ⋮ Multiobjective DC programs with infinite convex constraints ⋮ Pareto optimality and Walrasian equilibria ⋮ Duality and Farkas-type results for DC fractional programming with DC constraints ⋮ Some Farkas-type results for fractional programming problems with DC functions ⋮ Optimality conditions and duality for DC programming in locally convex spaces ⋮ An Extended Fenchel--Lagrange Duality Approach and Optimality Conditions for Strong Bilevel Programming Problems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Duality principles for optimization problems dealing with the difference of vector-valued convex mappings
- Concave duality: Application to problems dealing with difference of functions
- A general duality scheme for nonconvex minimization problems with a strict inequality constraint
- Duality in D. C. programming: The case of several D. C. constraints
- Multiobjective duality for convex-linear problems. II
- Multiobjective control approximation problems: duality and optimality.
- New constraint qualification and conjugate duality for composed convex optimization problems
- Proper efficiency and the theory of vector maximization
- Inf-convolution, sous-additivite, convexite des fonctions numériques
- Duality in Reverse Convex Optimization
This page was built for publication: Duality for multiobjective optimization problems with convex objective functions and D.C. constraints