Radial epiderivatives and set-valued optimization
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Publication:5193136
DOI10.1080/02331930902928310zbMath1175.90316OpenAlexW2050510066MaRDI QIDQ5193136
Publication date: 11 August 2009
Published in: Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/02331930902928310
optimality conditionsset-valued optimizationnon-convex analysisweak subdifferentialsradial epiderivativessingle-valued optimization
Nonconvex programming, global optimization (90C26) Numerical optimization and variational techniques (65K10) Optimality conditions and duality in mathematical programming (90C46) Nonsmooth analysis (49J52) Set-valued functions (26E25) Derivatives of functions in infinite-dimensional spaces (46G05)
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Cites Work
- Scalarization and nonlinear scalar duality for vector optimization with preferences that are not necessarily a pre-order relation
- An improved definition of proper efficiency for vector maximization with respect to cones
- Contingent epiderivatives and set-valued optimization
- Optimality conditions in non-convex set-valued optimization
- 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
- Contingent derivatives of set-valued maps and applications to vector optimization
- Radial Epiderivatives and Asymptotic Functions in Nonconvex Vector Optimization
- Strictly Increasing Positively Homogeneous Functions with Application to Exact Penalization
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