Characterization of approximate solutions of vector optimization problems with a variable order structure
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Publication:467457
DOI10.1007/s10957-014-0535-5zbMath1308.65098OpenAlexW1966160458MaRDI QIDQ467457
Publication date: 3 November 2014
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10957-014-0535-5
algorithmvector optimizationapproximate solutionsEkeland's variational principlevariable-order structure
Numerical mathematical programming methods (65K05) Multi-objective and goal programming (90C29) Nonlinear programming (90C30) Programming in abstract spaces (90C48)
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Cites Work
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- Concepts for approximate solutions of vector optimization problems with variable order structures
- Nonconvex separation theorems and some applications in vector optimization
- Optimal elements in vector optimization with a variable ordering structure
- Applied functional analysis. Motivations and methods for mathematicians and economists
- Relative Pareto minimizers for multiobjective problems: Existence and optimality conditions
- Nuclear and full nuclear cones in product spaces: Pareto efficiency and an Ekeland type variational principle
- Ekeland's principle for vector equilibrium problems
- Variable preference modeling with ideal-symmetric convex cones
- Vector variational principle
- \(\epsilon\)-solutions in vector minimization problems
- Epsilon efficiency
- Ekeland's \(\varepsilon\)-variational principle for set-valued mappings
- Equivalents of an approximate variational principle for vector-valued functions and applications
- Existence of solutions for a vector variational inequality: An extension of the Hartmann-Stampacchia theorem
- Stability results for approximately efficient solutions
- Existence and continuity of solutions for vector optimization
- Variational methods in partially ordered spaces
- Some variants of the Ekeland variational principle for a set-valued map
- Scalarizing vector optimization problems
- A conic scalarization method in multi-objective optimization
- Vector complementarity problems with a variable ordering relation
- Vector optimization. Set-valued and variational analysis.
- A nonlinear scalarization function and generalized quasi-vector equilibrium problems
- Cone convexity, cone extreme points, and nondominated solutions in decision problems with multiobjectives
- Adaptive Scalarization Methods in Multiobjective Optimization
- A Nonlinear Cone Separation Theorem and Scalarization in Nonconvex Vector Optimization
- A Set-Valued Ekeland's Variational Principle in Vector Optimization
- Nonconvex minimization problems
- A generalization of ekellandz’s variational principle
- A nonconvex vector minimization problem
- Variable Ordering Structures in Vector Optimization
- A Unified Approach and Optimality Conditions for Approximate Solutions of Vector Optimization Problems
- Characterizations of variable domination structures via nonlinear scalarization
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