Results 11 to 20 of about 564,271 (287)
Constraint qualification failure in action [PDF]
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Hassan L. Hijazi, Leo Liberti
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Duality without constraint qualification in nonsmooth optimization [PDF]
We are concerned with a nonsmooth multiobjective optimization problem with inequality constraints. In order to obtain our main results, we give the definitions of the generalized convex functions based on the generalized directional derivative. Under the
S. Nobakhtian
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RELAXED MANGASARIAN-FROMOVITZ CONSTRAINT QUALIFICATION AND ITS APPLICATIONS
Nonlinear programming problems are considered under the relaxed Mangasarian-Fromovitz constraint qualification. It was established that a new constraint qualification CRSC is another form of relaxed Mangasarian-Fromovitz constraint qualification and ...
S. V. Aktanarovich +3 more
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Necessary and Sufficient Constraint Qualification for Surrogate Duality
The authors investigate necessary and sufficient constraint qualifications for surrogate duality closely related with ones for Lagrange-type dualities, in comparison with such as these conditions in the usual mathematical programming. Reviewer's remark: This paper is also important for proper numerical studies.
Satoshi Suzuki, Daishi Kuroiwa
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CONSTRAINT QUALIFICATIONS IN PARTIAL IDENTIFICATION [PDF]
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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The Lagrangian, constraint qualifications and economics
AbstractConsidering constrained choice, practitioners and theorists frequently invoke a Lagrangian to generate optimality conditions. Regular use of that vehicle requires, however, some constraintqualification. Yet many economists go easy on the mathematics of that issue. Conversely, few mathematicians elaborate on the economics of the context. Thereby
Sjur Didrik Flåm, Jan-J. Rückmann
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On constraint qualifications in mathematical programming
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 input optimisation [PDF]
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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On Constraint qualifications of a nonconvex inequality
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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Saddle point criteria for semidefinite semi-infinite convex multiobjective optimization problems [PDF]
In this paper, we consider a nonlinear semidefinite semi-infinite convex multiobjective optimization problem where the feasible region is determined by finite number of equality and infinite number of inequality constraints.
Laha Vivek +2 more
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