Optimality conditions based on the Fréchet second-order subdifferential
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Publication:2231323
DOI10.1007/s10898-021-01011-4zbMath1484.90136arXiv2007.14593OpenAlexW3135986428MaRDI QIDQ2231323
Publication date: 29 September 2021
Published in: Journal of Global Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.14593
second-order tangent setFréchet second-order subdifferentialsecond-order necessary optimality conditionsgeneralized polyhedral convex setconstrained optimization problems on Banach spaces
Nonlinear programming (90C30) Quadratic programming (90C20) Optimality conditions and duality in mathematical programming (90C46) Programming in abstract spaces (90C48)
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Cites Work
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- Second-order subdifferentials and convexity of real-valued functions
- Lipschitzian stability of parametric variational inequalities over generalized polyhedra in Banach spaces
- Characterizing convexity of a function by its Fréchet and limiting second-order subdifferentials
- New second-order optimality conditions for a class of differentiable optimization problems
- Second-order and related extremality conditions in nonlinear programming
- Generalized Hessian matrix and second-order optimality conditions for problems with \(C^{1,1}\) data
- Linear and nonlinear programming.
- Optimality conditions in mathematical programming and composite optimization
- Affine variational inequalities on normed spaces
- Quadratic programming and affine variational inequalities. A qualitative study.
- Generalized polyhedral convex optimization problems
- Characterizations of Full Stability in Constrained Optimization
- Necessary and sufficient optimality conditions for a class of nonsmooth minimization problems
- Second-Order Conditions for Optimization Problems with Constraints
- Tilt Stability of a Local Minimum
- Second-Order Subdifferential Calculus with Applications to Tilt Stability in Optimization
- A representation of generalized convex polyhedra and applications
- Second Order Conditions for Constrained Minima