Constrained extremum problems, regularity conditions and image space analysis. I: The scalar finite-dimensional case

DOI10.1007/s10957-018-1216-6zbMath1398.49034OpenAlexW2782845708MaRDI QIDQ1670129

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/s10957-018-1216-6

zbMATH Keywords

regularity conditionconstraint qualificationimage space analysisseparation function

Mathematics Subject Classification ID

Nonlinear programming (90C30) Optimality conditions and duality in mathematical programming (90C46) Regularity of solutions in optimal control (49N60)

Related Items (3)

Constrained extremum problems, regularity conditions and image space analysis. II: The vector finite-dimensional case ⋮ Optimality conditions of robust convex multiobjective optimization viaε-constraint scalarization and image space analysis ⋮ Optimality conditions for efficient solutions of nonconvex constrained multiobjective optimization problems via image space analysis

Cites Work

• Unnamed Item
• Unnamed Item
• 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 of sets and Wolfe duality
• Separation approach for augmented lagrangians in Constrained nonconvex optimization
• On regularity for constrained extremum problems. I: Sufficient optimality conditions
• On regularity for constrained extremum problems. II: Necessary optimality conditions
• Regularity conditions for constrained extremum problems via image space
• Lagrange-type functions in constrained non-convex optimization.
• Some perspectives on vector optimization via image space analysis
• Theorems of the alternative and optimality conditions
• Constrained optimization and image space analysis. Vol. 1: Separation of sets and optimality conditions
• Characterizing FJ and KKT Conditions in Nonconvex Mathematical Programming with Applications
• Variational Analysis
• Stability Analysis for Parametric Mathematical Programs with Geometric Constraints and Its Applications
• Strong Duality in Cone Constrained Nonconvex Optimization
• On global optimality conditions via separation functions

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