Constraint qualification failure in action
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Hassan Hijazi, Leo Liberti
core +4 more sources
On relaxing the Mangasarian–Fromovitz constraint qualification
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Kruger, Alexander Y. +2 more
semanticscholar +5 more sources
We consider the optimal value reformulation of the bilevel programming problem. It is shown that the Mangasarian-Fromowitz constraint qualification in terms of the basic generalized differentiation constructions of Mordukhovich, which is weaker than the ...
Dempe, Stephan, Zemkoho, Alain B.
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R-Regularity of Set-Valued Mappings Under the Relaxed Constant Positive Linear Dependence Constraint Qualification with Applications to Parametric and Bilevel Optimization [PDF]
The presence of Lipschitzian properties for solution mappings associated with nonlinear parametric optimization problems is desirable in the context of, e.g., stability analysis or bilevel optimization.
P. Mehlitz, L. Minchenko
semanticscholar +2 more sources
CONSTRAINT QUALIFICATIONS IN PARTIAL IDENTIFICATION [PDF]
The literature on stochastic programming typically restricts attention to problems that fulfill constraint qualifications. The literature on estimation and inference under partial identification frequently restricts the geometry of identified sets with diverse high-level assumptions.
Kaido, Hiroaki +2 more
openaire +3 more sources
Constant-Rank Condition and Second-Order Constraint Qualification
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Andreani, R. +2 more
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On constraint qualifications in mathematical programming
The article is devoted to the condition of R-regularity (Error Bound Property) in problems of mathematical programming. This condition plays an important role in analyzing the convergence of numerical optimization algorithms and it is a fairly general ...
L. I. Minchenko, S. I. Sirotko
doaj +1 more source
Generalized invexity and mathematical programs [PDF]
In this paper, using generalized convexity assumptions, we show that Mstationary condition is sufficient for global or local optimality under some mathematical programming problem with equilibrium constraints(MPEC).
Joshi Bhuwan Chandra +2 more
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Optimality conditions and duality for multiobjective semi-infinite programming with data uncertainty via Mordukhovich subdifferential [PDF]
Based on the notation of Mordukhovich subdifferential in [27], we propose some of new concepts of convexity to establish optimality conditions for quasi ε−solutions for nonlinear semi-infinite optimization problems with data uncertainty in constraints ...
Pham Thanh-Hung
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Strong complementary approximate Karush-Kuhn-Tucker conditions for multiobjective optimization problems [PDF]
In this paper, we establish strong complementary approximate Karush- Kuhn-Tucker (SCAKKT) sequential optimality conditions for multiobjective optimization problems with equality and inequality constraints without any constraint qualifications and ...
Maurya Jitendra Kumar +1 more
doaj +1 more source

