Article ID Journal Published Year Pages File Type
4641850 Journal of Computational and Applied Mathematics 2008 11 Pages PDF
Abstract
The Kuhn-Tucker-type necessary optimality conditions are given for the problem of minimizing a max fractional function, where the numerator of the function involved is the sum of a differentiable function and a convex function while the denominator is the difference of a differentiable function and a convex function, subject to a set of differentiable nonlinear inequalities on a convex subset C of Rn, under the conditions similar to the Kuhn-Tucker constraint qualification or the Arrow-Hurwicz-Uzawa constraint qualification or the Abadie constraint qualification. Relations with the calmness constraint qualification are given.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
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