Local convexity on smooth manifolds

DOI10.1007/s10957-005-6398-zzbMath1211.90279OpenAlexW2061057786MaRDI QIDQ948637

Tamás Rapcsák

Publication date: 17 October 2008

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-005-6398-z

zbMATH Keywords

smooth manifoldsspace of pathslocal convexitylinear connections

Mathematics Subject Classification ID

Convex programming (90C25) Optimality conditions and duality in mathematical programming (90C46) Programming in abstract spaces (90C48) Convexity of real functions of several variables, generalizations (26B25)

Related Items (5)

Geodesic and contour optimization using conformal mapping ⋮ A subgradient method for multiobjective optimization on Riemannian manifolds ⋮ Subgradient method for convex feasibility on Riemannian manifolds ⋮ An incremental subgradient method on Riemannian manifolds ⋮ Proximal point method for a special class of nonconvex functions on Hadamard manifolds

Cites Work

• Unnamed Item
• Über konvexe Funktionen mit vorgeschriebenen Niveaumannigfaltigkeiten
• On pseudolinear functions
• Concavifiability and constructions of concave utility functions
• An unsolved problem of Fenchel
• On convex generalized systems
• Theorems of the alternative and optimality conditions
• Sulle stratificazioni convesse
• Convexity along curves and indunvexity
• CONVEX REGIONS IN THE GEOMETRY OF PATHS
• Fenchel problem of level sets

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