Constrained extremum problems, regularity conditions and image space analysis. II: The vector finite-dimensional case
DOI10.1007/s10957-018-1322-5zbMath1398.49033OpenAlexW4254900527MaRDI QIDQ1670130
Letizia Pellegrini, Sheng-kun Zhu
Publication date: 4 September 2018
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10957-018-1322-5
vector optimizationregularity conditionconstraint qualificationimage space analysisseparation function
Nonlinear programming (90C30) Optimality conditions and duality in mathematical programming (90C46) Regularity of solutions in optimal control (49N60)
Related Items (2)
Cites Work
- Unified duality theory for constrained extremum problems. I: Image space analysis
- Unified duality theory for constrained extremum problems. II: Special duality schemes
- New proof of a theorem of F. Giannessi
- Separation approach for augmented lagrangians in Constrained nonconvex optimization
- Some applications of the image space analysis to the duality theory for constrained extremum problems
- On regularity for constrained extremum problems. I: Sufficient optimality conditions
- On regularity for constrained extremum problems. II: Necessary optimality conditions
- Image space approach to penalty methods
- Regularity conditions for constrained extremum problems via image space
- Constrained qualifications in multiobjective optimization problems: Differentiable case
- Image space analysis to Lagrange-type duality for constrained vector optimization problems with applications
- Constrained extremum problems, regularity conditions and image space analysis. I: The scalar finite-dimensional case
- Theorems of the alternative and optimality conditions
- Constrained extremum problems with infinite-dimensional image: Selection and necessary conditions
- Constrained extremum problems with infinite dimensional image. Selection and saddle point
- Constrained optimization and image space analysis. Vol. 1: Separation of sets and optimality conditions
- Multiplier and gradient methods
- On necessary conditions for infinite-dimensional extremum problems
- Optimality Conditions and Image Space Analysis for Vector Optimization Problems
- Nonlinear separation in the image space with applications to penalty methods
- Variational Analysis
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- Unnamed Item
- Unnamed Item
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