Extremal systems for sets and multifunctions in multiobjective optimization with variable ordering structures
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Publication:484492
DOI10.1007/s10013-014-0099-6zbMath1305.49021OpenAlexW1988378365MaRDI QIDQ484492
Publication date: 7 January 2015
Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10013-014-0099-6
set-valued mapsvariational analysisgeneralized differentiationvariable ordering structuresextended extremal principlenon-dominated solutionsvector and set optimization
Multi-objective and goal programming (90C29) Nonlinear programming (90C30) Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53)
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Cites Work
- Unnamed Item
- Necessary nondomination conditions in set and vector 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
- Refined necessary conditions in multiobjective optimization with applications to microeconomic modeling
- Relative Pareto minimizers for multiobjective problems: Existence and optimality conditions
- Lagrange multipliers for multiobjective programs with a general preference
- Variable preference modeling with ideal-symmetric convex cones
- Multiple-criteria decision making. Concepts, techniques, and extensions. With the assistance of Yoon-Ro Lee and Antonie Stam
- Generalization of domination structures and nondominated solutions in multicriteria decision making
- Domination structures and multicriteria problems in N-person games
- Variational methods in partially ordered spaces
- Multicriteria optimization in engineering and in the sciences
- Cone convexity, cone extreme points, and nondominated solutions in decision problems with multiobjectives
- Optimality conditions for vector optimization problems with variable ordering structures
- Extended Pareto Optimality in Multiobjective Problems
- Set-valued optimization in welfare economics
- Variational Analysis
- An Extended Extremal Principle with Applications to Multiobjective Optimization
- Hamiltonian Necessary Conditions for a Multiobjective Optimal Control Problem with Endpoint Constraints
- Subdifferential necessary conditions in set-valued optimization problems with equilibrium constraints
