The metric gradient in normed linear spaces

DOI10.1007/BF01404401zbMath0277.65037OpenAlexW1996826063MaRDI QIDQ1393928

D. Massart

Publication date: 1972

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132178

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) General theory of numerical analysis in abstract spaces (65J05)

Related Items

A Characterization of Inner Product Spaces, Subdifferentials of distance functions, approximations and enlargements, Numerical optimization for the calculus of variations by gradients on non-Hilbert Sobolev spaces using conjugate gradients and normalized differential equations of steepest descent, A general approach to Newton's method for Banach space problems with equality constraints, An extension of Curry's theorem to steepest descent in normed linear spaces, Finsler structure in the \(p\)-Wasserstein space and gradient flows, A characterization of inner product spaces, Conjugate gradient methods in Banach spaces

Cites Work

• A theorem on duality mappings in Banach spaces
• On a Theorem of Beurling and Livingston
• The Geometry of Banach Spaces. Smoothness
• Convex Bodies and Periodic Homeomorphisms in Hilbert Space
• Gradient mappings
• The method of steepest descent for non-linear minimization problems