New generalized second-order contingent epiderivatives and set-valued optimization problems
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Publication:415392
DOI10.1007/s10957-011-9915-2zbMath1251.90389OpenAlexW1972705669MaRDI QIDQ415392
Sheng Jie Li, Kok Lay Teo, Sheng-kun Zhu
Publication date: 8 May 2012
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10957-011-9915-2
Optimality conditions and duality in mathematical programming (90C46) Programming in abstract spaces (90C48)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- About contingent epiderivatives
- Optimality conditions for set-valued optimization problems
- Contingent epiderivatives and set-valued optimization
- The existence of contingent epiderivatives for set-valued maps
- Second-order optimality conditions in set optimization
- Optimality conditions in differentiable vector optimization via second-order tangent sets
- On sufficient second order optimality conditions in multiobjective optimization
- First and second order optimality conditions for set-valued optimization problems
- Contingent derivatives of set-valued maps and applications to vector optimization
- An Existence Theorem in Vector Optimization
- Second-Order Conditions for Optimization Problems with Constraints
- Second Order Optimality Conditions Based on Parabolic Second Order Tangent Sets
- Optimality conditions for maximizations of set-valued functions
- Set-valued analysis
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