Weak Stationarity: Eliminating the gap between necessary and sufficient conditions

DOI10.1080/02331930410001695292zbMath1144.90507OpenAlexW2032498597MaRDI QIDQ4822670

Alexander Y. Kruger

Publication date: 25 October 2004

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/44842

Mathematics Subject Classification ID

Optimality conditions and duality in mathematical programming (90C46) Nonsmooth analysis (49J52) Programming in abstract spaces (90C48) Variational principles in infinite-dimensional spaces (58E30) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Optimality conditions for problems in abstract spaces (49K27)

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Cites Work

• Generalized differentials of nonsmooth functions, and necessary conditions for an extremum
• On Fréchet subdifferentials
• On the variational principle
• Strict (ε, δ)-Subdifferentials and Extremality Conditions
• LYUSTERNIK'S THEOREM AND THE THEORY OF EXTREMA
• Metric regularity and subdifferential calculus
• Extremal characterizations of asplund spaces
• Nonsmooth sequential analysis in Asplund spaces