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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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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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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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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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Constraint Qualifications for Vector Optimization Problems in Real Topological Spaces [PDF]
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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Constraint Qualifications and Optimality Criteria for Nonsmooth Multiobjective Mathematical Programming Problems with Equilibrium Constraints on Hadamard Manifolds [PDF]
AxiomsNonsmooth multiobjective mathematical programming problems with equilibrium constraints (NMMPEC) are studied in this article in the Hadamard manifold setting.
B. B. Upadhyay +3 more
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On Constraint qualifications of a nonconvex inequality [PDF]
Optimization Letters, 2017 In this paper, we study constraint qualifications for the nonconvex inequality defined by a proper lower semicontinuous function. These constraint qualifications involve the generalized construction of normal cones and subdifferentials. Several conditions for these constraint qualifications are also provided therein.
Zhou Wei, Jen-Chih Yao
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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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International Journal of Analysis and Applications, 2020 In this paper, we are concerned with one of the difficult class of optimization problems called the interval-valued optimization problem with vanishing constraints.
Izhar Ahmad +2 more
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Constraint qualifications in input optimisation [PDF]
The Journal of the Australian Mathematical Society. Series B. Applied Mathematics, 1989 AbstractWe introduce assumptions in input optimisation that simplify the necessary conditions for an optimal input. These assumptions, in the context of nonlinear programming, give rise to conceptually new kinds of constraint qualifications.
van Rooyen, M., Sears, M., Zlobec, S.
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