Lagrange duality, stability and subdifferentials in vector optimization
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Publication:4916328
DOI10.1080/02331934.2013.766187zbMath1292.90269arXiv1211.0419OpenAlexW2095079756MaRDI QIDQ4916328
Luis Rodríguez-Marín, Andreas Löhne, Christiane Tammer, Elvira Hernández
Publication date: 22 April 2013
Published in: Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1211.0419
Convex programming (90C25) Multi-objective and goal programming (90C29) Duality theory (optimization) (49N15)
Related Items (7)
Optimization of first-order Nicoletti boundary value problem with discrete and differential inclusions and duality ⋮ Approximate Lagrangian duality and saddle point optimality in set optimization ⋮ Optimality for set-valued optimization in the sense of vector and set criteria ⋮ Lagrange Multiplier Rules for Weakly Minimal Solutions of Compact-Valued Set Optimization Problems ⋮ Set Optimization—A Rather Short Introduction ⋮ On Lagrange Multiplier Rules for Set-Valued Optimization Problems in the Sense of Set Criterion ⋮ Optimization of boundary value problems for higher order differential inclusions and duality
Uses Software
Cites Work
- Scalarization and nonlinear scalar duality for vector optimization with preferences that are not necessarily a pre-order relation
- A duality theory for set-valued functions. I: Fenchel conjugation theory
- Different conjugate dual problems in vector optimization and their relations
- Existence and Lagrangian duality for maximization of set-valued functions
- On supremum of a set in a multidimensional space
- Conjugate maps and duality in multiobjective optimization
- Duality theory for maximizations with respect to cones
- Conjugate duality in vector optimization
- A generalization of Fenchel duality in set-valued vector optimization
- Lagrangian multipliers, saddle points, and duality in vector optimization of set-valued maps
- Conjugate dual problems in constrained set-valued optimization and applications
- Lagrangian duality in set-valued optimization
- First-order optimality conditions in set-valued optimization
- Lagrange multipliers for set-valued optimization problems associated with coderivatives
- Vector Optimization with Infimum and Supremum
- Duality in Vector Optimization
- Supremal points and generalized duality
- Duality in vector optimization
- Multivalued convexity and optimization: A unified approach to inequality and equality constraints
- The Lagrange Multiplier Rule in Set-Valued Optimization
- An analysis of some dual problems in multiobjective optimization (I)
- Conjugate Maps, Subgradients and Conjugate Duality in Set-Valued Optimization
- Optimization with set relations: conjugate duality
- A new approach to duality in vector optimization
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