Back to Search
Start Over
Characterization of vector strict global minimizers of order 2 in differentiable vector optimization problems under a new approximation method
- Source :
-
Journal of Computational & Applied Mathematics . Jul2011, Vol. 235 Issue 17, p4991-5000. 10p. - Publication Year :
- 2011
-
Abstract
- 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 -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 -approximated vector optimization problem, the suitable -convexity of order 2 assumption is imposed on the functions constituting the considered vector optimization problem. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 03770427
- Volume :
- 235
- Issue :
- 17
- Database :
- Academic Search Index
- Journal :
- Journal of Computational & Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 62271006
- Full Text :
- https://doi.org/10.1016/j.cam.2011.04.029