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Second-order global optimality conditions for convex composite optimization

https://doi.org/10.1007/bf01580087
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Global Optimization
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Sensitivity analysis for variational inequalities
inferredcites →https://doi.org/10.1007/bf01442169openalex-snapshot
Generalized Hessian matrix and second-order optimality conditions for problems withC 1,1 data
inferredcites →https://doi.org/10.1007/bf01580754openalex-snapshot
An envelope-like effect of infinitely many inequality constraints on second-order necessary conditions for minimization problems
inferredcites →https://doi.org/10.1007/bf01581075openalex-snapshot
Optimality conditions for non-finite valued convex composite functions
inferredcites →https://doi.org/10.1007/bf01581251openalex-snapshot
Convex composite multi-objective nonsmooth programming
inferredcites →https://doi.org/10.1007/bf01582222openalex-snapshot
Optimality conditions in mathematical programming and composite optimization
inferredcites →https://doi.org/10.1007/bf01588325openalex-snapshot
First and second order conditions for a class of nondifferentiable optimization problems
inferredcites →https://doi.org/10.1007/bf02192162openalex-snapshot
Convex composite minimization withC 1,1 functions
inferredcites →https://doi.org/10.1007/bf02592016openalex-snapshot
Second order necessary and sufficient conditions for convex composite NDO
inferredcites →https://doi.org/10.1007/bf02592331openalex-snapshot
Hidden convexity in some nonconvex quadratically constrained quadratic programming
inferredcites →https://doi.org/10.1007/bf02612363openalex-snapshot
Pseudolinearity and efficiency
inferredcites →https://doi.org/10.1007/bfb0083586openalex-snapshot
On some recent developments in the theory of second order optimality conditions
inferredcites →https://doi.org/10.1016/0022-247x(75)90111-0openalex-snapshot
Second- and higher-order duality in nonlinear programming
inferredcites →https://doi.org/10.1016/0022-247x(91)90312-nopenalex-snapshot
Variational analysis of a composite function: A formula for the lower second order epi-derivative
inferredcites →https://doi.org/10.1016/0362-546x(93)90052-topenalex-snapshot
Vector variational inequality and its duality
inferredcites →https://doi.org/10.1016/0362-546x(94)00209-zopenalex-snapshot
On second-order directional derivatives
inferredcites →https://doi.org/10.1016/0362-546x(94)90050-7openalex-snapshot
Second-order moderate derivatives
inferredcites →https://doi.org/10.1016/0377-2217(92)90059-iopenalex-snapshot
Unboundedness of a convex quadratic function subject to concave and convex quadratic constraints
inferredcites →https://doi.org/10.1016/b978-1-898563-21-1.50008-0openalex-snapshot
Mathematical Programming
inferredcites →https://doi.org/10.1017/s0004972700014015openalex-snapshot
Generalized second-order directional derivatives and optimality conditions
inferredcites →https://doi.org/10.1080/00207729108910825openalex-snapshot
Composite convex programs
inferredcites →https://doi.org/10.1080/02331939208843851openalex-snapshot
Generalized second-order directional derivatives and optimization with C 1,1 functions
inferredcites →https://doi.org/10.1090/s0002-9947-1988-0936806-9openalex-snapshot
First- and Second-Order Epi-Differentiability in Nonlinear Programming
inferredcites →https://doi.org/10.1137/0317020openalex-snapshot
Necessary and Sufficient Conditions for a Local Minimum. 2: Conditions of Levitin–Miljutin–Osmolovskii Type
inferredcites →https://doi.org/10.1137/0317021openalex-snapshot
Necessary and Sufficient Conditions for a Local Minimum. 3: Second Order Conditions and Augmented Duality
inferredcites →https://doi.org/10.1137/0324017openalex-snapshot
Generalized Quasiconvex Mappings and Vector Optimization
inferredcites →https://doi.org/10.1137/0328045openalex-snapshot
A Generalized Second-Order Derivative in Nonsmooth Optimization
inferredcites →https://doi.org/10.1137/0329054openalex-snapshot
An Exact Penalization Viewpoint of Constrained Optimization
inferredcites →https://doi.org/10.1137/0801004openalex-snapshot
Composite Nonsmooth Programming with Gâteaux Differentiability
inferredcites →https://doi.org/10.1137/1.9781611971309openalex-snapshot
Optimization and Nonsmooth Analysis
inferredcites →https://doi.org/10.1137/1035044openalex-snapshot
Lagrange Multipliers and Optimality
inferredcites →https://doi.org/10.1287/moor.14.3.462openalex-snapshot
Second-Order Optimality Conditions in Nonlinear Programming Obtained by Way of Epi-Derivatives
inferredcites →https://doi.org/10.1287/moor.8.2.231openalex-snapshot
Strong and Weak Convexity of Sets and Functions
inferredcites →https://doi.org/10.1287/trsc.18.2.185openalex-snapshot
An Efficient Method for Computing Traffic Equilibria in Networks with Asymmetric Transportation Costs
inferredcites →https://doi.org/10.1515/9781400873173openalex-snapshot
Convex Analysis

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Composite Nonsmooth Optimization
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A Comparison of Two Approaches to Second-Order Subdifferentiability Concepts with Application to Optimality Conditions
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Second Order Strict Converse Duality in Nonlinear Fractional Programming
inferred← citeshttps://doi.org/10.1007/978-3-030-54621-2_82-1openalex-snapshot
Composite Nonsmooth Optimization
inferred← citeshttps://doi.org/10.1007/978-81-322-2485-3_58openalex-snapshot
Duality for a Nondifferentiable Multiobjective Second-Order Fractional Programming Problem Involving $$(F,\alpha ,\rho ,d)$$—V-type-I Functions
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Multiobjective Wolfe Type Second-Order Symmetric Duality
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Multiobjective Mond-Weir-Type Second-Order Symmetric Duality
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Symmetric duality for multiobjective programming using second order (F, ρ)-convexity
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On the relations between different duals assigned to composed optimization problems
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Robust stochastic dominance and its application to risk-averse optimization
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On convergence of iterative thresholding algorithms to approximate sparse solution for composite nonconvex optimization
inferred← citeshttps://doi.org/10.1007/s10255-015-0493-1openalex-snapshot
The Stable Farkas Lemma for composite convex functions in infinite dimensional spaces
inferred← citeshttps://doi.org/10.1007/s10474-007-4273-0openalex-snapshot
Conjugate duality for multiobjective composed optimization problems
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Further Study on Augmented Lagrangian Duality Theory
inferred← citeshttps://doi.org/10.1007/s10898-004-8267-yopenalex-snapshot
On Generalized Linearity of Quadratic Fractional Functions
inferred← citeshttps://doi.org/10.1007/s10898-004-8268-xopenalex-snapshot
Second-Order Global Optimality Conditions for Optimization Problems
inferred← citeshttps://doi.org/10.1007/s10898-012-0032-zopenalex-snapshot
Asymptotic analysis in convex composite multiobjective optimization problems
inferred← citeshttps://doi.org/10.1007/s10957-010-9666-5openalex-snapshot
Second-Order Analysis of Penalty Function
inferred← citeshttps://doi.org/10.1007/s10957-017-1091-6openalex-snapshot
Existence of Augmented Lagrange Multipliers for Semi-infinite Programming Problems
inferred← citeshttps://doi.org/10.1016/j.ejor.2003.04.007openalex-snapshot
Second order symmetric duality in non-differentiable multiobjective programming with F-convexity
inferred← citeshttps://doi.org/10.1016/j.ejor.2003.06.014openalex-snapshot
Unified approaches for solvable and unsolvable linear complementarity problems
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Multiobjective second-order symmetric duality with F-convexity
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Second order symmetric duality in multiobjective programming involving generalized cone-invex functions
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Second order symmetric duality in nondifferentiable multiobjective programming
inferred← citeshttps://doi.org/10.1016/j.jmaa.2007.08.053openalex-snapshot
Second-order optimality conditions for problems with C 1 data
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Higher order duality in multiobjective fractional programming with support functions
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Optimality conditions for an isolated minimum of order two in C1 constrained optimization
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Second-order duality for invex composite optimization
inferred← citeshttps://doi.org/10.1016/s0377-2217(02)00156-xopenalex-snapshot
Non-differentiable second order symmetric duality in mathematical programming with F-convexity
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Successive optimization method via parametric monotone composition formulation
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Nonlinear Lagrangian Theory for Nonconvex Optimization
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Convergence Analysis of a Class of Nonlinear Penalization Methods for Constrained Optimization via First-Order Necessary Optimality Conditions
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Lagrange-Type Functions in Constrained Optimization
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Partially Strictly Monotone and Nonlinear Penalty Functions for Constrained Mathematical Programs
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On global quadratic growth condition for min-max optimization problems with quadratic functions
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Second-Order Parameter-Free Duality Models in Semi-Infinite Minmax Fractional Programming
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Second-order multi-objective non–differentiable Schaible type model and its duality relation under (K xQ)–C–type–I functions
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Nonlinear Lagrangian for Multiobjective Optimization and Applications to Duality and Exact Penalization
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Sharp Variational Conditions for Convex Composite Nonsmooth Functions
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Characterizations of Asymptotic Cone of the Solution Set of a Composite Convex Optimization Problem
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Stability in E‐convex programming
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GENERALIZED SECOND ORDER SYMMETRIC DUALITY IN NONDIFFERENTIABLE MULTIOBJECTIVE PROGRAMMING
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Generalizations of Higher-Order Duality for Multiple Objective Nonlinear Programming under the Generalizations of Type-I Functions
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SECOND-ORDER UNIVEX FUNCTIONS AND GENERALIZED DUALITY MODELS FOR MULTIOBJECTIVE PROGRAMMING PROBLEMS CONTAINING ARBITRARY NORMS
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Second-order Optimality Conditions by Generalized Derivatives and Applications in Hilbert Spaces
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