Necessary optimality conditions for an optimization problem with equality constraint

DOI10.1080/02331939708844285zbMath0923.49016OpenAlexW2038475626MaRDI QIDQ4351792

Abderrahman El Boukhari

Publication date: 6 May 1998

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331939708844285

zbMATH Keywords

necessary optimality conditionstangent conesingular problemequality constraintLagrange theoremLjapunov-Schmidt reductiongeneralized regularity condition

Mathematics Subject Classification ID

Numerical methods based on necessary conditions (49M05) Programming in abstract spaces (90C48) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25) Optimality conditions for problems in abstract spaces (49K27)

Cites Work

• Unnamed Item
• On the local structure of the zero-set of a Banach space valued mapping
• Regularity and stability for the mathematical programming problem in Banach spaces
• Lectures on mathematical theory of extremum problems. Translated from the Russian by D. Louvish
• A characterization of tangential regularity
• First and second-order necessary and sufficient optimality conditions for infinite-dimensional programming problems
• Qualitative methods in bifurcation theory

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