Quasidifferentiability of real-valued functions and local extremum conditions

DOI10.1007/BF00968978zbMath0569.49005MaRDI QIDQ1061368

Valentin V. Gorokhovik

Publication date: 1984

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

local minimum\(\epsilon \) -quasidifferentialsquasidifferentiability

Mathematics Subject Classification ID

Convex programming (90C25) Nonlinear programming (90C30) Fréchet and Gateaux differentiability in optimization (49J50) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Continuity and differentiation questions (26B05) Special properties of functions of several variables, Hölder conditions, etc. (26B35) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Optimality conditions for free problems in two or more independent variables (49K10)

Related Items (5)

Quaisidifferentials in Kantorovich spaces ⋮ Positively homogeneous functions revisited ⋮ Order cancellation law in the family of bounded convex sets ⋮ Comparison between quasidifferentials and exhausters ⋮ A New Constraint Qualification and Sharp Optimality Conditions for Nonsmooth Mathematical Programming Problems in Terms of Quasidifferentials

Cites Work

• Calcul sous-différentiel et optimisation
• Necessary and Sufficient Conditions for a Local Minimum. 1: A Reduction Theorem and First Order Conditions
• Generalized Directional Derivatives and Subgradients of Nonconvex Functions
• Generalized Gradients and Applications
• A New Approach to Lagrange Multipliers
• Differential Calculus in Linear Topological Spaces
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