Characterization of vector strict global minimizers of order 2 in differentiable vector optimization problems under a new approximation method |
| |
Authors: | Tadeusz Antczak |
| |
Institution: | Faculty of Mathematics and Computer Science, University of ?ód?, Banacha 22, 90-238 ?ód?, Poland |
| |
Abstract: | In this paper, a new approximation method is introduced to characterize a so-called vector strict global minimizer of order 2 for a class of nonlinear differentiable multiobjective programming problems with (F,ρ)-convex functions of order 2. In this method, an equivalent vector optimization problem is constructed by a modification of both the objectives and the constraint functions in the original multiobjective programming problem at the given feasible point. In order to prove the equivalence between the original multiobjective programming problem and its associated F-approximated vector optimization problem, the suitable (F,ρ)-convexity of order 2 assumption is imposed on the functions constituting the considered vector optimization problem. |
| |
Keywords: | 90C26 90C29 90C30 |
本文献已被 ScienceDirect 等数据库收录! |
|