Abstract
Semiparametric necessary and sufficient proper efficiency conditions are established for a class of constrained multiobjective fractional variational problems containing arbitrary norms. Moreover, using the forms and contents of these proper efficiency results, eight semiparametric duality models are formulated and appropriate duality theorems are proved. These proper efficiency and duality criteria contain, as special cases, similar results for a related class of multiobjective fractional variational problems involving square roots of positive semidefinite quadratic forms
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