Results 231 to 240 of about 495,604 (291)

Constraint Qualifications Revisited

open access: yesManagement Science, 1972
In this study we investigate the constraint qualifications for the Kuhn-Tucker conditions to hold for an inequality-constrained nonlinear programming problem. We present the qualifications in a consistent manner so that the interrelationships between them are highlighted. This gives rise naturally to two types of constraint qualifications, and it will
M. S. Bazaraa, J. J. Goode, C. M. Shetty
openaire   +3 more sources

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 ...
Lei Guo, Gui-Hua Lin
exaly   +4 more sources

Characterizations of the Strong Basic Constraint Qualifications

Mathematics of Operations Research, 2005
In this paper, we characterize the general difference between strong basic constraint qualification (BCQ) and BCQ. For this purpose, we introduce a new measurement, the extent of a subdifferential, and show that for an inequality defined by a proper convex function f, the strong BCQ at a boundary point x of the solution set is equivalent to the ...
exaly   +3 more sources

Note on Mangasarian–Fromovitz-Like Constraint Qualifications [PDF]

open access: yesJournal of Optimization Theory and Applications, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Minchenko, L., Leonid Minchenko
openaire   +4 more sources

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