Optimality and duality in set-valued optimization utilizing limit sets
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Publication:1738225
DOI10.1515/math-2018-0095zbMath1462.90121OpenAlexW2899153430MaRDI QIDQ1738225
Xiangyu Kong, Yinfeng Zhang, Guolin Yu
Publication date: 29 March 2019
Published in: Open Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/math-2018-0095
Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46) Convexity of real functions of several variables, generalizations (26B25)
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Nonsmooth Constraint Qualifications for Nonconvex Inequality Systems ⋮ Sufficiency and duality for nonsmooth interval-valued optimization problems via generalized invex-infine functions
Cites Work
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- On approximate solutions in set-valued optimization problems
- The relationship between ic-cone-convexness and nearly cone-subconvexlikeness
- Variational sets of multivalued mappings and a unified study of optimality conditions
- Dini set-valued directional derivative in locally Lipschitz vector optimization
- Existence and Lagrangian duality for maximization of set-valued functions
- Directional derivatives for set-valued mappings and applications
- Lagrangian multipliers, saddle points, and duality in vector optimization of set-valued maps
- Near-subconvexlikeness in vector optimization with set-valued functions
- New generalized convexity notion for set-valued maps and application to vector optimization
- Lagrangian duality for vector optimization problem with set-valued mappings
- Cone-directed contingent derivatives and generalized preinvex set-valued optimization
- Vector optimization. Set-valued and variational analysis.
- First-order optimality conditions in set-valued optimization
- Globally proper saddle point in ic-cone-convexlike set-valued optimization problems
- Vector Optimization
- Differentiability of Relations and Differential Stability of Perturbed Optimization Problems
- A multiplier rule in set-valued optimisation
- Set-valued analysis
- Optimality conditions for maximizations of set-valued functions
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