Second-order global optimality conditions for convex composite optimization
type: Item
instance of: scholarly article
title: Second-order global optimality conditions for convex composite optimization
zbMATH Open document ID: 0919.90125
DOI: 10.1007/BF01580087
published in: Mathematical Programming. Series A. Series B
publication date: 1999-06-03T00:00:00Z
Mathematics Subject Classification ID: 90C25
Mathematics Subject Classification ID: 49J40
zbMATH DE Number: 1294663
zbMATH Keywords: second-order duality
zbMATH Keywords: variational inequality
zbMATH Keywords: second-order optimality conditions
zbMATH Keywords: convex composite problems
author: Xiao Qi Yang
MaRDI profile type: Publication
cites work: Second order necessary and sufficient conditions for convex composite NDO
cites work: Optimality conditions for non-finite valued convex composite functions
cites work: First and second order conditions for a class of nondifferentiable optimization problems
cites work: Necessary and Sufficient Conditions for a Local Minimum. 3: Second Order Conditions and Augmented Duality
cites work: Optimality conditions in mathematical programming and composite optimization
cites work: Second-Order Optimality Conditions in Nonlinear Programming Obtained by Way of Epi-Derivatives
cites work: Q3997222
cites work: Generalized Quasiconvex Mappings and Vector Optimization
cites work: Convex composite multi-objective nonsmooth programming
cites work: Vector variational inequality and its duality
cites work: Convex composite minimization with \(C^{1,1}\) functions
cites work: A Generalized Second-Order Derivative in Nonsmooth Optimization
cites work: Generalized Hessian matrix and second-order optimality conditions for problems with \(C^{1,1}\) data
cites work: Generalized second-order directional derivatives and optimization with C1,1 functions
cites work: Second- and higher-order duality in nonlinear programming
cites work: Composite Nonsmooth Programming with Gâteaux Differentiability
cites work: Composite convex programs
cites work: Sensitivity analysis for variational inequalities
cites work: An Exact Penalization Viewpoint of Constrained Optimization
cites work: Optimization and nonsmooth analysis
cites work: Convex Analysis
cites work: On second-order directional derivatives
cites work: First- and Second-Order Epi-Differentiability in Nonlinear Programming
cites work: An envelope-like effect of infinitely many inequality constraints on second-order necessary conditions for minimization problems
cites work: Variational analysis of a composite function: A formula for the lower second order epi-derivative
cites work: Lagrange Multipliers and Optimality
cites work: Strong and Weak Convexity of Sets and Functions
cites work: Generalized second-order derivatives and optimality conditions
cites work: Hidden convexity in some nonconvex quadratically constrained quadratic programming
cites work: Unboundedness of a convex quadratic function subject to concave and convex quadratic constraints
cites work: Necessary and Sufficient Conditions for a Local Minimum. 2: Conditions of Levitin–Miljutin–Osmolovskii Type
cites work: Pseudolinearity and efficiency
full work available at URL: https://doi.org/10.1007/bf01580087
OpenAlex ID: W1979028018
description: scientific article; zbMATH DE number 1294663