A note on second-order optimality conditions
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Publication:1030092
DOI10.1016/j.na.2009.01.035zbMath1163.49021OpenAlexW1993117115MaRDI QIDQ1030092
Publication date: 1 July 2009
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2009.01.035
second-order optimality conditionsapproximate HessianDini derivativePeano derivative\(\ell \)-stable function\(C^{1, 1}\) functionisolated minimizer of order 2
Continuity and differentiation questions (26B05) Optimality conditions for free problems in two or more independent variables (49K10)
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Generalization of \(C^{1,1}\) property in infinite dimension ⋮ Necessary conditions for vector optimization in infinite dimension ⋮ On second-order optimality conditions in constrained multiobjective optimization ⋮ Relation between the class of M. Sama and the class of \(\ell\)-stable functions
Cites Work
- Unnamed Item
- Technical note: Directional derivatives in nonsmooth optimization
- Generalized Hessian matrix and second-order optimality conditions for problems with \(C^{1,1}\) data
- Differentiability properties of functions that are \(\ell \)-stable at a point
- From scalar to vector optimization.
- An envelope-like effect of infinitely many inequality constraints on second-order necessary conditions for minimization problems
- Superlinearly convergent approximate Newton methods for LC\(^ 1\) optimization problems
- Upper Lipschitz behavior of solutions to perturbed \(C^{1,1}\) programs
- Second-order subdifferentials of \(C^{1,1}\) functions and optimality conditions
- Nonsmooth vector functions and continuous optimization
- On second-order conditions in unconstrained optimization
- On Second-Order Subdifferentials and Their Applications
- A Generalized Second-Order Derivative in Nonsmooth Optimization
- Second-Order Optimality Conditions in Nonlinear Programming Obtained by Way of Epi-Derivatives
- Second-Order Sufficient Conditions in Nonsmooth Optimization
- Necessary and sufficient optimality conditions for a class of nonsmooth minimization problems
- Approximate Jacobian Matrices for Nonsmooth Continuous Maps and C1-Optimization
- On relations and applications of generalized second-order directional derivatives
- Approximate generalized Hessians and Taylor’s expansions for continuously Gâteaux differentiable functions
- On Generalized Second-Order Derivatives and Taylor Expansions in Nonsmooth Optimization
- Variational Analysis
- Elimination of Strict Convergence in Optimization
- On second-order directional derivatives
- Second-Order Necessary Conditions for Nonlinear Optimization Problems in Banach Spaces and Their Application to an Optimal Control Problem
