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On necessary conditions for a class of nondifferentiable minimax fractional programming

✍ Scribed by H.Z. Luo; H.X. Wu

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
181 KB
Volume
215
Category
Article
ISSN
0377-0427

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✦ Synopsis

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 R n , 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.

πŸ“œ SIMILAR VOLUMES

Duality for a Class of Nondifferentiable
Duality for a Class of Nondifferentiable Multiobjective Programming Problems
✍ Xin Min Yang; Kok Lay Teo; Xiao Qi Yang πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 64 KB

In this paper, both the Wolfe type and Mond᎐Weir type dual problems for a class of nondifferentiable multiobjective programs in which every component of the objective function contains a term involving the support function of a compact convex set are formulated. Weak duality theorems are established