A characterization of continuously codifferentiable functions and some consequences

DOI10.1080/02331939108843697zbMath0733.49016OpenAlexW1980722252MaRDI QIDQ3359296

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Publication date: 1991

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331939108843697

zbMATH Keywords

locally Lipschitzquasidifferentiabilitycontinuous codifferentiabilityexistence of an upper-semicontinuous continuous selectionglobally convergent descent algorithm

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Nonsmooth analysis (49J52) Fréchet and Gateaux differentiability in optimization (49J50) Methods of reduced gradient type (90C52)

Related Items (5)

Metric regularity of quasidifferentiable mappings and optimality conditions for nonsmooth mathematical programming problems ⋮ A convergence analysis of the method of codifferential descent ⋮ Abstract convex approximations of nonsmooth functions ⋮ Constrained nonsmooth problems of the calculus of variations ⋮ A generalized steepest descent method for continuously subdifferentiable functions

Cites Work

• Quasidifferentiable functions: Necessary conditions and descent directions
• On locally-Lipschitz quasi-differentiate functions in Banach-spaces
• An algorithm for minimizing a certain class of quasidifferentiable functions
• A New Approach to Lagrange Multipliers
• Convex Analysis

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