Higher order optimality conditions for inequality-constrained problems

DOI10.1080/00036811.2012.751590zbMath1284.49030OpenAlexW2056221076MaRDI QIDQ5404685

Vsevolod I. Ivanov

Publication date: 28 March 2014

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2012.751590

zbMATH Keywords

nonsmooth analysisnonsmooth optimizationKKT optimality conditionshigher order critical directionhigher order Mangasarian-Fromovitz constraint qualificationhigher order pseudoinvex function

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Nonlinear programming (90C30) Optimality conditions and duality in mathematical programming (90C46) Nonsmooth analysis (49J52) Convexity of real functions of several variables, generalizations (26B25) Optimality conditions for problems in abstract spaces (49K27)

Related Items (10)

Higher-order efficiency conditions for constrained vector equilibrium problems ⋮ Second-Order Optimality Conditions for Strict Pareto Minima and Weak Efficiency for Nonsmooth Constrained Vector Equilibrium Problems ⋮ Higher-order set-valued Hadamard directional derivatives: calculus rules and sensitivity analysis of equilibrium problems and generalized equations ⋮ Quasi-contingent derivatives and studies of higher-orders in nonsmooth optimization ⋮ Higher-order efficiency conditions for continuously directional differentiable vector equilibrium problem with constraints ⋮ Higher-order Karush–Kuhn–Tucker optimality conditions for Borwein properly efficient solutions of multiobjective semi-infinite programming ⋮ Convex optimization of nonlinear inequality with higher order derivatives ⋮ Optimality conditions for nonlinear infinite programming problems ⋮ Higher order optimality conditions with an arbitrary non-differentiable function ⋮ On optimality conditions for set-valued equilibrium problems

Cites Work

• Second-order and related extremality conditions in nonlinear programming
• Higher-order optimality conditions for strict local minima
• The \(p\)th-order optimality conditions for inequality constrained optimization problems
• On sufficiency of the Kuhn-Tucker conditions
• Higher-order necessary conditions for infinite and semi-infinite optimization
• Nine kinds of quasiconcavity and concavity
• Higher order necessary conditions in abstract mathematical programming
• Higher-order necessary optimality conditions in terms of Neustadt derivatives.
• On invex sets and preinvex functions
• Second-order optimality conditions for problems with \(C^{1}\) data
• The Fritz John necessary optimality conditions in the presence of equality and inequality constraints
• Invexity and generalized convexity

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