Second-Order Optimality Conditions for Mathematical Programs with Equilibrium Constraints

Lei Guo; Gui-Hua Lin; Jane J. Ye

doi:10.1007/s10957-012-0228-x

Second-Order Optimality Conditions for Mathematical Programs with Equilibrium Constraints

Journal of Optimization Theory and Applications ◽

10.1007/s10957-012-0228-x ◽

2012 ◽

Vol 158 (1) ◽

pp. 33-64 ◽

Cited By ~ 27

Author(s):

Lei Guo ◽

Gui-Hua Lin ◽

Jane J. Ye

Keyword(s):

Optimality Conditions ◽

Second Order ◽

Equilibrium Constraints ◽

Second Order Optimality Conditions ◽

Mathematical Programs

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Second-order optimality conditions for nonlinear programs and mathematical programs

Journal of Inequalities and Applications ◽

10.1186/s13660-017-1487-8 ◽

2017 ◽

Vol 2017 (1) ◽

Cited By ~ 1

Author(s):

Ikram Daidai

Keyword(s):

Optimality Conditions ◽

Second Order ◽

Nonlinear Programs ◽

Second Order Optimality Conditions ◽

Mathematical Programs

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First-and second-order optimality conditions for mathematical programs with vanishing constraints

Applications of Mathematics ◽

10.1007/s10492-007-0029-y ◽

2007 ◽

Vol 52 (6) ◽

pp. 495-514 ◽

Cited By ~ 32

Author(s):

Tim Hoheisel ◽

Christian Kanzow

Keyword(s):

Optimality Conditions ◽

Second Order ◽

Second Order Optimality Conditions ◽

Mathematical Programs ◽

Vanishing Constraints

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On Directional Metric Subregularity and Second-Order Optimality Conditions for a Class of Nonsmooth Mathematical Programs

SIAM Journal on Optimization ◽

10.1137/120891216 ◽

2013 ◽

Vol 23 (1) ◽

pp. 632-665 ◽

Cited By ~ 37

Author(s):

Helmut Gfrerer

Keyword(s):

Optimality Conditions ◽

Second Order ◽

Metric Subregularity ◽

Second Order Optimality Conditions ◽

Mathematical Programs

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New bifurcation theorems via the second-order optimality conditions

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2009.06.037 ◽

2009 ◽

Vol 359 (2) ◽

pp. 752-764 ◽

Cited By ~ 5

Author(s):

A.V. Arutyunov ◽

A.F. Izmailov ◽

V. Jaćimović

Keyword(s):

Optimality Conditions ◽

Second Order ◽

Second Order Optimality Conditions

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On the Hessian of Lagrangian and Second Order Optimality Conditions

SIAM Journal on Control and Optimization ◽

10.1137/0324019 ◽

1986 ◽

Vol 24 (3) ◽

pp. 339-345 ◽

Cited By ~ 5

Author(s):

S.-P. Han

Keyword(s):

Optimality Conditions ◽

Second Order ◽

Second Order Optimality Conditions

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Second-order optimality conditions with arbitrary nondifferentiable function in scalar and vector optimization

Nonlinear Analysis ◽

10.1016/j.na.2015.05.030 ◽

2015 ◽

Vol 125 ◽

pp. 270-289 ◽

Cited By ~ 3

Author(s):

Vsevolod I. Ivanov

Keyword(s):

Optimality Conditions ◽

Vector Optimization ◽

Second Order ◽

Nondifferentiable Function ◽

Second Order Optimality Conditions ◽

Scalar And Vector Optimization

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Second-order Optimality Conditions for Optimal Control of the Primitive Equations of the Ocean with Periodic Inputs

Applied Mathematics & Optimization ◽

10.1007/s00245-010-9112-y ◽

2010 ◽

Vol 63 (1) ◽

pp. 75-106 ◽

Cited By ~ 2

Author(s):

T. Tachim Medjo

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

Second Order ◽

Primitive Equations ◽

Second Order Optimality Conditions ◽

Periodic Inputs

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Second order optimality conditions for a bilevel optimization problem in terms of approximate Hessians

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2021.125932 ◽

2021 ◽

pp. 125932

Author(s):

S. Dempe ◽

M. El idrissi ◽

N. Gadhi

Keyword(s):

Optimality Conditions ◽

Optimization Problem ◽

Bilevel Optimization ◽

Second Order ◽

Second Order Optimality Conditions

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Second-order optimality conditions for efficiency in $$C^{1,1}$$-smooth quasiconvex multiobjective programming problem

Computational and Applied Mathematics ◽

10.1007/s40314-021-01625-0 ◽

2021 ◽

Vol 40 (6) ◽

Author(s):

Tran Van Su ◽

Dinh Dieu Hang

Keyword(s):

Optimality Conditions ◽

Programming Problem ◽

Multiobjective Programming ◽

Second Order ◽

Second Order Optimality Conditions ◽

Multiobjective Programming Problem

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Second Order Optimality Conditions for Controls with Continuous and Bang-Bang Components

IFIP International Federation for Information Processing - Systems, Control, Modeling and Optimization ◽

10.1007/0-387-33882-9_28 ◽

2006 ◽

pp. 297-307 ◽

Cited By ~ 1

Author(s):

N. P. Osmolovskii ◽

H. Maurer

Keyword(s):

Optimality Conditions ◽

Second Order ◽

Second Order Optimality Conditions

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