On epsilon-stability in optimization
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Publication:684048
DOI10.1007/s10013-017-0265-8zbMath1411.90271OpenAlexW2768171504MaRDI QIDQ684048
Publication date: 9 February 2018
Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10013-017-0265-8
Fenchel dualityconjugate duality\(\epsilon\)-stability\(\epsilon\)-duality gapcone constraint optimizationquasi relative interior
Nonconvex programming, global optimization (90C26) Nonlinear programming (90C30) Sensitivity, stability, parametric optimization (90C31) Duality theory (optimization) (49N15)
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Cites Work
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- A complete characterization of strong duality in nonconvex optimization with a single constraint
- Convex inequalities without constraint qualification nor closedness condition, and their applications in optimization
- Stable zero duality gaps in convex programming: complete dual characterisations with applications to semidefinite programs
- Separation of sets and Wolfe duality
- Revisiting some duality theorems via the quasirelative interior in convex optimization
- Quasi-relative interior-type constraint qualifications ensuring strong Lagrange duality for optimization problems with cone and affine constraints
- Conjugate duality in convex optimization
- Epigraphical analysis
- A note on d-stability of convex programs and limiting Lagrangians
- Partially finite convex programming. I: Quasi relative interiors and duality theory
- Zero duality gaps in infinite-dimensional programming
- Stability of the duality gap in linear optimization
- Separation theorem based on the quasirelative interior and application to duality theory
- Duality gap in convex programming
- Characterizations of \(\varepsilon\)-duality gap statements for composed optimization problems
- The \(\varepsilon\)-strategy in variational analysis: illustration with the closed convexification of a function
- Even convexity, subdifferentiability, and {\(\Gamma\)}-regularization in general topological vector spaces
- Infinite dimensional duality and applications
- A weaker regularity condition for subdifferential calculus and Fenchel duality in infinite dimensional spaces.
- On the use of the quasi-relative interior in optimization
- Vector Optimization and Monotone Operators via Convex Duality
- Functional Inequalities in the Absence of Convexity and Lower Semicontinuity with Applications to Optimization
- Regularity conditions via generalized interiority notions in convex optimization: New achievements and their relation to some classical statements
- On three open problems related to quasi relative interior
- Regularity Conditions via Quasi-Relative Interior in Convex Programming
- Variational Analysis
- Subdifferential calculus without qualification conditions, using approximate subdifferentials: A survey
- Strong Duality in Cone Constrained Nonconvex Optimization
- Conditions for zero duality gap in convex programming