Results 151 to 160 of about 1,995,695 (219)

On constraint qualifications

Journal of Optimization Theory and Applications, 1992
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Constraint qualifications for nonsmooth programming

Optimization, 2018
ABSTRACTBy using an implicit function theorem and a result of error bound, we provide new constraint qualifications ensuring the Karush–Kuhn–Tuker necessary optimality conditions for both smooth and nonsmooth optimization problems in normed spaces or Banach spaces.
Liren Huang, Lulin Tan, Chunguang Liu
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Constraint qualifications in quasidifferentiable optimization

Mathematical Programming, 1993
The paper is devoted to inequality-constrained optimization problems with quasi-differentiable data, for which a qualification is said to hold if the null vector is a solution of the ``quasilinearized'' problem. The main result is that five qualification conditions can be ordered in such a way that each of them implies the one that follows.
Kuntz, Ludwig, Scholtes, Stefan
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Abadie-Type Constraint Qualification for Mathematical Programs with Equilibrium Constraints

Journal of Optimization Theory and Applications, 2005
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Flegel, M. L., Kanzow, C.
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Second-Order Enhanced Optimality Conditions and Constraint Qualifications

Journal of Optimization Theory and Applications, 2023
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Kuang Bai, Yixia Song, Jin Zhang
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Avoiding a Constraint Qualification

Optimization, 1997
Necessary conditions are given for a constrained minimum, which do not assume any constraint qualification. The conditions relate to a cone, depending on constraint gradients at points near the minimum. They generalize a sufficient condition due to Hanson Under an invexity hypothesis.
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Notes on Some Constraint Qualifications for Mathematical Programs with Equilibrium Constraints

Journal of Optimization Theory and Applications, 2012
From the introduction: ``Mathematical program with equilibrium constraints (MPEC) plays an important role in many fields such as engineering design, economic equilibria, transportation science, multilevel game, and mathematical programming itself. However, this kind of problems is generally difficult to deal with because their constraints fail to ...
Guo, Lei, Lin, Gui-Hua
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On Constraint Qualifications in Nonsmooth Optimization

Journal of Optimization Theory and Applications, 2004
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Constraint Qualifications in Nonsmooth Multiobjective Optimization

Journal of Optimization Theory and Applications, 2000
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Nonsmooth multiobjective programming and constraint qualifications

Optimization, 2013
We consider a nonsmooth multiobjective programming problem with inequality and set constraints. By using the notion of convexificator, we extend the Abadie constraint qualification, and derive the strong Kuhn-Tucker necessary optimality conditions. Some other constraint qualifications have been generalized and their interrelations are investigated.
M. Golestani, S. Nobakhtian
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