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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Optimality Conditions for a Nonsmooth Semivectorial Bilevel Optimization Problem

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2021.1875484 ◽

2021 ◽

Vol 42 (3) ◽

pp. 298-319

Author(s):

S. Dempe ◽

N. Gadhi ◽

M. El Idrissi

Keyword(s):

Optimality Conditions ◽

Optimization Problem ◽

Bilevel Optimization

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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 ◽

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 ◽

Author(s):

S.-P. Han

Keyword(s):

Optimality Conditions ◽

Second Order ◽

Second Order Optimality Conditions

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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 ◽

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 with arbitrary nondifferentiable function in scalar and vector optimization

Nonlinear Analysis ◽

10.1016/j.na.2015.05.030 ◽

2015 ◽

Vol 125 ◽

pp. 270-289 ◽

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 ◽

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 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 ◽

Author(s):

N. P. Osmolovskii ◽

H. Maurer

Keyword(s):

Optimality Conditions ◽

Second Order ◽

Second Order Optimality Conditions

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On second-order optimality conditions for continuously Fréchet differentiable vector optimization problems

Optimization ◽

10.1080/02331934.2018.1545122 ◽

2018 ◽

Vol 67 (12) ◽

pp. 2117-2137 ◽

Author(s):

Min Feng ◽

Shengjie Li

Keyword(s):

Optimality Conditions ◽

Vector Optimization ◽

Optimization Problems ◽

Second Order ◽

Vector Optimization Problems ◽

Second Order Optimality Conditions ◽

Fréchet Differentiable ◽

Differentiable Vector

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Second-Order Optimality Conditions for Weak and Strong Local Solutions of Parabolic Optimal Control Problems

Vietnam Journal of Mathematics ◽

10.1007/s10013-015-0175-6 ◽

2015 ◽

Vol 44 (1) ◽

pp. 181-202 ◽

Author(s):

Eduardo Casas ◽

Fredi Tröltzsch

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

Optimal Control Problems ◽

Second Order ◽

Control Problems ◽

Second Order Optimality Conditions ◽

Local Solutions ◽

Parabolic Optimal Control

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