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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 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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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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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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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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Tạp chí Khoa học, 2023 In this paper, we study the relationship between the constant ranktype constraint qualifications for nonlinear second-order cone programs, which was recently developed by R. Andreani et al. ([2], [3]) in two-dimensional space.
Le Van Hien
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Fractal and Fractional, 2021 In this paper, we establish Fritz John stationary conditions for nonsmooth, nonlinear, semidefinite, multiobjective programs with vanishing constraints in terms of convexificator and introduce generalized Cottle type and generalized Guignard type ...
Kin Keung Lai +4 more
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Mathematics, 2021 In this paper, we consider a class of mathematical programs with switching constraints (MPSCs) where the objective involves a non-Lipschitz term. Due to the non-Lipschitz continuity of the objective function, the existing constraint qualifications for ...
Jinman Lv, Zhenhua Peng, Zhongping Wan
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On duality for nonsmooth Lipschitz optimization problems [PDF]
Yugoslav Journal of Operations Research, 2009 We present some duality theorems for a non-smooth Lipschitz vector optimization problem. Under generalized invexity assumptions on the functions the duality theorems do not require constraint qualifications.
Preda Vasile +2 more
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