Directional derivatives and generalized gradients on manifolds

DOI10.1080/02331939208843813zbMath0814.49014OpenAlexW1984025916MaRDI QIDQ4327936

W. Thämelt

Publication date: 18 June 1995

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331939208843813

zbMATH Keywords

Stokes' theoremgeneralized directional derivativesgeneralized subgradientsCartan's formulageneralized Lie derivativesnonsmooth differential forms

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Programming in abstract spaces (90C48) Differential forms in global analysis (58A10) Exterior differential systems (Cartan theory) (58A15) Existence theories for problems in abstract spaces (49J27) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items

Generalized submonotonicity and approximately convexity in Riemannian manifolds ⋮ Vector variational inequalities and vector optimization problems on Hadamard manifolds ⋮ Existence results for vector variational inequality problems on Hadamard manifolds ⋮ Generalized gradients and characterization of epi-Lipschitz sets in Riemannian manifolds ⋮ Local convergence of the proximal point method for a special class of nonconvex functions on Hadamard manifolds ⋮ Proximal point method for a special class of nonconvex functions on Hadamard manifolds ⋮ Vector variational inequality with pseudoconvexity on Hadamard manifolds

Cites Work

• Quasi-tangent vectors in flow-invariance and optimization problems on Banach manifolds
• Optimization and nonsmooth analysis
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