Optimality conditions for an isolated minimum of order two in \(C1\) constrained optimization
From MaRDI portal
Publication:1022996
DOI10.1016/j.jmaa.2009.02.035zbMath1176.90569OpenAlexW2020186342MaRDI QIDQ1022996
Publication date: 10 June 2009
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.02.035
optimality conditionssecond-order constraint qualificationsisolated minimizer of order twoKuhn-Tucker invexitystrict local minimizer of order twostrong Kuhn-Tucker invexitystrongly pseudoconvex function
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Cites Work
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- Second-order optimality conditions for \(C^1\) multiobjective programming problems
- The essence of invexity
- Generalized convexity and nonsmooth problems of vector optimization
- On the functions with pseudoconvex sublevel sets and optimality conditions
- Higher-order optimality conditions for strict local minima
- Second-order necessary conditions in semismooth optimization
- On sufficiency of the Kuhn-Tucker conditions
- Nine kinds of quasiconcavity and concavity
- Invex functions and generalized convexity in multiobjective programming
- Second-order global optimality conditions for convex composite optimization
- On invexity-type nonlinear programming problems
- Characterizations of strict local minima and necessary conditions for weak sharp minima
- On sufficient optimality conditions for a quasiconvex programming problem
- Second-order necessary and sufficient conditions in nonsmooth optimization
- Pseudoinvexity, optimality conditions and efficiency in multiobjective problems; duality
- Second-order optimality conditions for problems with \(C^{1}\) data
- Second Order Optimality Conditions for Problems with Continuously Differentiable Data
- Stability in Mathematical Programming with Nondifferentiable Data
- Necessary and Sufficient Conditions for Isolated Local Minima of Nonsmooth Functions
- Second-Order Necessary Conditions in Constrained Semismooth Optimization
- Second-Order Sufficient Conditions in Nonsmooth Optimization
- Approximate Hessian matrices and second-order optimality conditions for nonlinear programming problems with C1-data
- On strong pseudomonotonicity and (semi)strict quasimonotonicity
