Weak-subdifferentials for vector functions and applications to multiobjective semi-infinite optimization problems
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Publication:4959755
DOI10.1080/00036811.2018.1514018zbMath1451.90133OpenAlexW2891997212MaRDI QIDQ4959755
Publication date: 7 April 2020
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2018.1514018
strong dualityweak-stabilityaugmented Lagrangian vector functionweak-subdifferentialweak-subgradient
Nonconvex programming, global optimization (90C26) Optimality conditions and duality in mathematical programming (90C46) Semi-infinite programming (90C34) Duality theory (optimization) (49N15)
Related Items (3)
Unnamed Item ⋮ \(E\)-subdifferential of \(E\)-convex functions and its applications to minimization problem ⋮ Optimality conditions for nonsmooth fuzzy optimization models under the gH-weak subdifferentiability
Cites Work
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- Weak stability and strong duality of a class of nonconvex infinite programs via augmented Lagrangian
- Optimality conditions in nonconvex optimization via weak subdifferentials
- Duality in nonlinear programs using augmented Lagrangian functions
- Constructing a perfect duality in infinite programming
- On duality in nonconvex vector optimization in Banach spaces using augmented Lagrangians
- Stability and duality of nonconvex problems via augmented Lagrangian
- On augmented Lagrangians for optimization problems with a single constraint
- Augmented Lagrangian duality and nondifferentiable optimization methods in nonconvex programming
- Duality in nonlinear multiobjective programming using augmented Lagrangian functions
- Weak Fenchel and weak Fenchel-Lagrange conjugate duality for nonconvex scalar optimization problems
- Post-Optimal Analysis in Linear Semi-Infinite Optimization
- Generalized weak subdifferentials
- On Weak Subdifferentials, Directional Derivatives, and Radial Epiderivatives for Nonconvex Functions
- Extensions of subgradient calculus with applications to optimization
- Proximal Subgradients, Marginal Values, and Augmented Lagrangians in Nonconvex Optimization
- Generalized Gradients and Applications
- Variational Analysis
- A survey of subdifferential calculus with applications
- On Saddle Points of Augmented Lagrangians for Constrained Nonconvex Optimization
- Augmented Lagrange Multiplier Functions and Duality in Nonconvex Programming
- Some Properties of the Augmented Lagrangian in Cone Constrained Optimization
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