We study the minimal solutions in a nondifferentiable multiobjective problem, using a relation induced by a cone C, that is C-efficient and C-weakly efficient solutions. First of all, a new class of nondifferentiable vector functions, named (C1,C2)-pseudoinvex, is introduced pointing out that it differs from the ones already proposed in the literature. Then, it is proved that a critical point is C-efficient or weakly C-efficient if and only if the vector objective function is (C1,C2)-pseudoinvex. The obtained results generalize to the nondifferentiable case some known definitions and characterization theorems which appeared in the recent vector optimization literature.
|Autori:||Cambini R; Arana M; Rufian A|
|Titolo:||C-efficiency in nondifferentiable vector optimization|
|Anno del prodotto:||2013|
|Digital Object Identifier (DOI):||10.1016/j.mcm.2012.10.015|
|Appare nelle tipologie:||1.1 Articolo in rivista|