On constraint qualifications in directionally differentiable multiobjective optimization problems
Giorgio Giorgi, Bienvenido Jiménez, Vincente Novo (2010)
RAIRO - Operations Research
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We consider a multiobjective optimization problem with a feasible set defined by inequality and equality constraints such that all functions are, at least, Dini differentiable (in some cases, Hadamard differentiable and sometimes, quasiconvex). Several constraint qualifications are given in such a way that generalize both the qualifications introduced by Maeda and the classical ones, when the functions are differentiable. The relationships between them are analyzed. Finally, we give...