Image space approach and subdifferentials of integral functionals
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Publication:2996790
DOI10.1080/02331934.2010.505651zbMath1217.49018OpenAlexW2044057907MaRDI QIDQ2996790
Publication date: 3 May 2011
Published in: Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/02331934.2010.505651
Nonconvex programming, global optimization (90C26) Nonlinear programming (90C30) Numerical methods involving duality (49M29) Optimality conditions and duality in mathematical programming (90C46) Nonsmooth analysis (49J52) Duality theory (optimization) (49N15)
Related Items (4)
Subdifferentiation of Nonconvex Sparsity-Promoting Functionals on Lebesgue Spaces ⋮ A unified approach for constrained extremum problems: image space analysis ⋮ Subdifferential Calculus Rules for Possibly Nonconvex Integral Functions ⋮ Subdifferentials of Nonconvex Integral Functionals in Banach Spaces with Applications to Stochastic Dynamic Programming
Cites Work
- Unnamed Item
- On the image regularity condition.
- Separation of sets and Wolfe duality
- An optimal alternative theorem and applications to mathematical programming
- Calmness properties and contingent subgradients of integral functionals on Lebesgue spaces \(L_{p }, 1 \leqslant p < \infty \)
- Necessary and sufficient conditions for the interchange between infimum and the symbol of integration
- On the image of a constrained extremum problem and some applications to the existence of a minimum
- Perfect duality for convexlike programs
- Integrals, conditional expectations, and martingales of multivalued functions
- Theorems of the alternative and optimality conditions for convexlike and general convexlike programming
- Image of a parametric optimization problem and continuity of the perturbation function
- Lagrangian duality for minimization of nonconvex multifunctions
- Dual problems and separation of sets: Lagrange and Fenchel duality
- Variational methods in partially ordered spaces
- Permanently going back and forth between the ``quadratic world and the ``convexity world in optimization
- Theorems of the alternative and optimality conditions
- On the theory of Lagrangian duality
- Lagrangian duality and cone convexlike functions
- Critical duality
- Constrained optimization and image space analysis. Vol. 1: Separation of sets and optimality conditions
- Integrals which are convex functionals
- Integrals which are convex functionals. II
- Lipschitzian properties of integral functionals on Lebesgue spaces \(L_p, 1 \leqslant p < \infty\)
- Moreau-Rockafellar type theorems for nonconvex and non-locally lipschitz integral functional onLp(T,X)
- Ekeland Duality as a Paradigm
- Legendre Duality in Nonconvex Optimization and Calculus of Variations
- Variational Analysis
- On the Clarke Subdifferential of an Integral Functional on Lp, 1 ≤ p < ∞
- On a notion of subdifferentiability for non-convex functions†
- Unilateral Analysis and Duality
- Superlinear separation for radiant and coradiant sets
- Minimax Theorems
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