On Metric Pseudo-(sub)Regularity of Multifunctions and Optimality Conditions for Degenerated Mathematical Programs

In this work, some counterexamples are given to refute some results in the paper by Kohli (RAIRO-Oper. Res. 53, 1617-1632, 2019). We correct the faulty in some of his results.

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Elliptic Mathematical Programs with Equilibrium Constraints in Function Space: Optimality Conditions and Numerical Realization

International Series of Numerical Mathematics - Trends in PDE Constrained Optimization ◽

10.1007/978-3-319-05083-6_9 ◽

2014 ◽

pp. 133-153

Author(s):

Michael Hintermüller ◽

Antoine Laurain ◽

Caroline Löbhard ◽

Carlos N. Rautenberg ◽

Thomas M. Surowiec

Keyword(s):

Optimality Conditions ◽

Function Space ◽

Numerical Realization ◽

Equilibrium Constraints ◽

Mathematical Programs

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Optimality conditions for nonsmooth mathematical programs with equilibrium constraints, using convexificators

Optimization ◽

10.1080/02331934.2014.987776 ◽

2014 ◽

Vol 65 (1) ◽

pp. 67-85 ◽

Cited By ~ 8

Author(s):

A. Ansari Ardali ◽

N. Movahedian ◽

S. Nobakhtian

Keyword(s):

Optimality Conditions ◽

Equilibrium Constraints ◽

Mathematical Programs

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On sufficient optimality conditions for mathematical programs with equaiity constraints

Journal of Optimization Theory and Applications ◽

10.1007/bf00940772 ◽

1985 ◽

Vol 47 (2) ◽

pp. 253-255 ◽

Cited By ~ 1

Author(s):

A. Ben-Israel ◽

B. Mond

Keyword(s):

Optimality Conditions ◽

Sufficient 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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Necessary Optimality Conditions for Mathematical Programs with Second-Order Cone Complementarity Constraints

Set-Valued and Variational Analysis ◽

10.1007/s11228-013-0250-7 ◽

2013 ◽

Vol 22 (1) ◽

pp. 59-78 ◽

Cited By ~ 8

Author(s):

Yan-Chao Liang ◽

Xi-De Zhu ◽

Gui-Hua Lin

Keyword(s):

Optimality Conditions ◽

Necessary Optimality Conditions ◽

Second Order ◽

Complementarity Constraints ◽

Mathematical Programs ◽

Second Order Cone

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Optimality conditions for mathematical programs with equilibrium constraints using directional convexificators

Optimization ◽

10.1080/02331934.2021.2016752 ◽

2021 ◽

pp. 1-21

Author(s):

Lahoussine Lafhim ◽

El Mostafa Kalmoun

Keyword(s):

Optimality Conditions ◽

Equilibrium Constraints ◽

Mathematical Programs

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