ON THE PROBLEMS OF BILEVEL OPTIMIZATION UNDER RCPLD CONSTRAINT QUALIFICATIONS [PDF]
Доклады Белорусского государственного университета информатики и радиоэлектроники, 2019 Multilevel optimization problems often arise in various applications (in economics, ecology, power engineering and other areas) when modeling complex systems with a hierarchical structure associated with independent actions of subsystems.
L. I. Minchenko, S. I. Sirotko
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On relaxing the Mangasarian–Fromovitz constraint qualification
Positivity, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alexander Kruger +2 more
exaly +4 more sources
On constraint qualifications in mathematical programming
Доклады Белорусского государственного университета информатики и радиоэлектроники, 2019 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
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CONSTRAINT QUALIFICATIONS IN PARTIAL IDENTIFICATION [PDF]
Econometric Theory, 2021 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
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Relations between Abs-Normal NLPs and MPCCs. Part 1: Strong Constraint Qualifications [PDF]
Journal of Nonsmooth Analysis and Optimization, 2021 This work is part of an ongoing effort of comparing non-smooth optimization problems in abs-normal form to MPCCs. We study the general abs-normal NLP with equality and inequality constraints in relation to an equivalent MPCC reformulation.
Lisa C. Hegerhorst-Schultchen +2 more
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Strong complementary approximate Karush-Kuhn-Tucker conditions for multiobjective optimization problems [PDF]
Yugoslav Journal of Operations Research, 2022 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
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Relations between Abs-Normal NLPs and MPCCs. Part 2: Weak Constraint Qualifications [PDF]
Journal of Nonsmooth Analysis and Optimization, 2021 This work continues an ongoing effort to compare non-smooth optimization problems in abs-normal form to Mathematical Programs with Complementarity Constraints (MPCCs).
Lisa C. Hegerhorst-Schultchen +2 more
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Asymptotic stationarity and regularity for nonsmooth optimization problems [PDF]
Journal of Nonsmooth Analysis and Optimization, 2020 Based on the tools of limiting variational analysis, we derive a sequential necessary optimality condition for nonsmooth mathematical programs which holds without any additional assumptions. In order to ensure that stationary points in this new sense are
Patrick Mehlitz
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Constraint Qualifications for Vector Optimization Problems in Real Topological Spaces
Axioms, 2023 In this paper, we introduce a series of definitions of generalized affine functions for vector-valued functions by use of “linear set”. We prove that our generalized affine functions have some similar properties to generalized convex functions.
Renying Zeng
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Karush-Kuhn-Tucker optimality conditions and duality for multiobjective semi-infinite programming with equilibrium constraints [PDF]
Yugoslav Journal of Operations Research, 2021 The purpose of this paper is to study multiobjective semi-infinite programming with equilibrium constraints. Firstly, the necessary and sufficient Karush-Kuhn-Tucker optimality conditions for multiobjective semi-infinite programming with equilibrium ...
Le Thanh Tung
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