Scalarization and saddle points of approximate proper solutions in nearly subconvexlike vector optimization problems |
| |
| Authors: | C Gutiérrez L Huerga V Novo |
| |
| Institution: | 1. Departamento de Matemática Aplicada, E.T.S. de Ingenieros de Telecomunicación, Universidad de Valladolid, Paseo de Belén 15, Campus Miguel Delibes, 47011 Valladolid, Spain;2. Departamento de Matemática Aplicada, E.T.S.I. Industriales, UNED, c/ Juan del Rosal 12, Ciudad Universitaria, 28040 Madrid, Spain |
| |
| Abstract: | In this paper, we characterize approximate Benson-proper solutions of a constrained vector optimization problem with generalized cone convexity assumptions through approximate solutions of associated scalar optimization problems and also via approximate proper saddle point theorems. These results are based on an approximate version of the well known nearly subconvexlikeness notion and also on a new set-valued Lagrangian and a new concept of approximate proper saddle point. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
