New second-order limiting directional derivatives and \(C^1\)-optimization

DOI10.1007/s11590-022-01956-9OpenAlexW4311497429MaRDI QIDQ6081594

Nguyen Minh Tung, Nguyen Xuan Duy Bao

Publication date: 26 October 2023

Published in: Optimization Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11590-022-01956-9

zbMATH Keywords

strict solutionsdirectional derivativesecond-order optimality conditionLagrange multiplier rule

Mathematics Subject Classification ID

Nonlinear programming (90C30) Nonsmooth analysis (49J52) Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24)

Cites Work

• Unnamed Item
• New second-order optimality conditions for a class of differentiable optimization problems
• Generalized Hessian matrix and second-order optimality conditions for problems with \(C^{1,1}\) data
• On second-order Fritz John type optimality conditions in nonsmooth multiobjective programming
• Optimality conditions for nonsmooth multiobjective optimization using Hadamard directional derivatives
• New second-order directional derivative and optimality conditions in scalar and vector optimization
• Generalized Hessian for \(C^{1,1}\) functions in infinite dimensional normed spaces
• Optimality conditions based on the Fréchet second-order subdifferential
• New second-order Karush-Kuhn-Tucker optimality conditions for vector optimization
• Directionally limiting subdifferentials and second-order optimality conditions
• Second-order optimality conditions for problems with \(C^{1}\) data
• A Generalized Second-Order Derivative in Nonsmooth Optimization
• Optimization and nonsmooth analysis
• Second-Order Necessary Conditions in Constrained Semismooth Optimization
• On second-order sufficient optimality conditions for c ^1,1-optimization problems
• Necessary and sufficient optimality conditions for a class of nonsmooth minimization problems
• Approximate Jacobian Matrices for Nonsmooth Continuous Maps and C¹-Optimization
• Second-Order Conditions for Optimization Problems with Constraints
• Approximate Hessian matrices and second-order optimality conditions for nonlinear programming problems with C¹-data
• Second-order conditions in c^{1, 1}optimization with applications
• Generalized second-order derivatives and optimality conditions
• Generalized second-order directional derivatives and optimization with C^1,1 functions
• Variational Analysis and Applications
• Set-valued Optimization
• Set-valued analysis
• Optimality conditions for \(C^{1,1}\) vector optimization problems

This page was built for publication: New second-order limiting directional derivatives and \(C^1\)-optimization