Properly optimal elements in vector optimization with variable ordering structures
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Publication:475805
DOI10.1007/s10898-013-0132-4zbMath1327.90281OpenAlexW1998684195MaRDI QIDQ475805
Gabriele Eichfelder, Refail Kasimbeyli
Publication date: 27 November 2014
Published in: Journal of Global Optimization (Search for Journal in Brave)
Full work available at URL: https://www.db-thueringen.de/receive/dbt_mods_00022044
Multi-objective and goal programming (90C29) Nonlinear programming (90C30) Programming in abstract spaces (90C48)
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Cites Work
- Unnamed Item
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- Numerical procedures in multiobjective optimization with variable ordering structures
- Scalarization and nonlinear scalar duality for vector optimization with preferences that are not necessarily a pre-order relation
- Nonconvex separation theorems and some applications in vector optimization
- Optimality conditions in nonconvex optimization via weak subdifferentials
- Optimal elements in vector optimization with a variable ordering structure
- Cones with bounded and unbounded bases and reflexivity
- A multi-objective programming approach to 1.5-dimensional assortment problem
- Variable preference modeling with ideal-symmetric convex cones
- An improved definition of proper efficiency for vector maximization with respect to cones
- Proper efficiency with respect to cones
- Existence of solutions for a vector variational inequality: An extension of the Hartmann-Stampacchia theorem
- Variational methods in partially ordered spaces
- Embeddability of \(L_{1}(\mu)\) in dual spaces, geometry of cones and a characterization of \(c_{0}\).
- Scalarizing vector optimization problems
- A conic scalarization method in multi-objective optimization
- Advancing equitability in multiobjective programming
- Vector optimization. Set-valued and variational analysis.
- A nonlinear scalarization function and generalized quasi-vector equilibrium problems
- Proper efficiency and the theory of vector maximization
- Cone convexity, cone extreme points, and nondominated solutions in decision problems with multiobjectives
- Optimality conditions for vector optimization problems with variable ordering structures
- Variable Ordering Structures in Vector Optimization
- Advances in Cone-Based Preference Modeling for Decision Making with Multiple Criteria
- On a Theorem of Arrow, Barankin, and Blackwell
- Vector Optimization
- On Weak Subdifferentials, Directional Derivatives, and Radial Epiderivatives for Nonconvex Functions
- A Nonlinear Cone Separation Theorem and Scalarization in Nonconvex Vector Optimization
- Proper Efficient Points for Maximizations with Respect to Cones
- Radial epiderivatives and set-valued optimization
- Characterizations of variable domination structures via nonlinear scalarization
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