On \(G\)-semidifferentiable functions in Euclidean spaces

DOI10.1007/BF02192233zbMath0831.90108MaRDI QIDQ1897458

Nguyen Dong Yen

Publication date: 27 August 1995

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

zbMATH Keywords

homogeneous functionsDini-Hadamard directional derivativesupper \(G\)- semidifferentiable

Mathematics Subject Classification ID

Nonlinear programming (90C30) Fréchet and Gateaux differentiability in optimization (49J50)

Related Items (4)

Fréchet quasidifferential calculus with applications to metric regularity of continuous maps ⋮ Nonsmooth calculus of semismooth functions and maps ⋮ Image space analysis and separation forG-semidifferentiable vector problems ⋮ \(G\)-semidifferentiability in Euclidean spaces

Cites Work

• Semidifferentiable functions and necessary optimality conditions
• Some notes on semidifferentiablity and generalized subdifferentials
• On a possible generalization of pshemchhy's quasidifferentiability
• Optimization and nonsmooth analysis
• Local structure of feasible sets in nonlinear programming, Part III: Stability and sensitivity
• Abstract cone approximations and generalized differentiability in nonsmooth optimization
• On semidifferentiable functions
• Sufficient conditions for extremum, penalty functions and regularity

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