Morse Theory And Invariant Concepts of Convexity

DOI10.1080/02331939508844132zbMath0878.58015OpenAlexW2045143576MaRDI QIDQ4859823

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Publication date: 8 January 1998

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331939508844132

zbMATH Keywords

optimizationMorse theoryconvexityinvexity

Mathematics Subject Classification ID

Convex programming (90C25) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Convexity of real functions of several variables, generalizations (26B25) Applications of variational problems to control theory (58E25)

Cites Work

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• Pre-invex functions in multiple objective optimization
• On sufficiency of the Kuhn-Tucker conditions
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• \(C^\infty\) convex functions and manifolds of positive curvature
• Riemannsche Mannigfaltigkeiten mit nicht-konstanter konvexer Funktion
• Nondifferentiable optimization by smooth approximations
• Convexity along curves and indunvexity
• Morse Theory. (AM-51)
• Invex functions and constrained local minima
• On generalised convex mathematical programming
• Lectures on Morse theory, old and new

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