scientific article; zbMATH DE number 7514036

zbMath1484.49033MaRDI QIDQ5072177

Nguyen Huy Chieu, Gue Myung Lee, Nguyen Dong Yen

Publication date: 25 April 2022

Full work available at URL: http://yokohamapublishers.jp/online2/opaao/vol1/p461.html

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zbMATH Keywords

Banach spaceunconstrained minimizationoptimality conditionsecond-order subdifferential\(C^1\)-smooth function

Mathematics Subject Classification ID

Set-valued and variational analysis (49J53) Optimality conditions for free problems in two or more independent variables (49K10) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30) Optimality conditions for free problems in one independent variable (49K05)

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Smoothing approximation to the lower order exact penalty function for inequality constrained optimization ⋮ Generalized damped Newton algorithms in nonsmooth optimization via second-order subdifferentials ⋮ Globally convergent coderivative-based generalized Newton methods in nonsmooth optimization ⋮ Fréchet Second-Order Subdifferentials of Lagrangian Functions and Optimality Conditions ⋮ Variational Convexity of Functions and Variational Sufficiency in Optimization ⋮ Second-order characterizations of quasiconvexity and pseudoconvexity for differentiable functions with Lipschitzian derivatives ⋮ Optimality conditions based on the Fréchet second-order subdifferential ⋮ Optimality conditions for vector optimization problems with non-cone constraints in image space ⋮ Second-order optimality conditions for infinite-dimensional quadratic programs

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