| Issue |
RAIRO-Oper. Res.
Volume 52, Number 4-5, October–December 2018
ROADEF 2017
|
|
|---|---|---|
| Page(s) | 1397 - 1410 | |
| DOI | https://doi.org/10.1051/ro/2018028 | |
| Published online | 06 December 2018 | |
ϵ-Efficient solutions in semi-infinite multiobjective optimization
Department of Applied Mathematics, Pukyong National University,
Busan, Korea.
* Corresponding author: dskim@pknu.ac.kr
Received:
5
April
2017
Accepted:
27
April
2018
In this paper we apply some tools of nonsmooth analysis and scalarization method due to Chankong–Haimes to find ϵ-efficient solutions of semi-infinite multiobjective optimization problems (MP). We establish ϵ-optimality conditions of Karush–Kuhn–Tucker (KKT) type under Farkas–Minkowski (FM) constraint qualification by using ϵ-subdifferential concept. In addition we propose mixed type dual problem (including dual problems of Wolfe and Mond–Weir types as special cases) for ϵ-efficient solutions and investigate relationship between mentioned (MP) and its dual problem as well as establish several ϵ-duality theorems.
Mathematics Subject Classification: 90C30 / 49N15 / 90C46 / 90C34
Key words: ϵ-Efficiency / semi-infinite optimization / ϵ-optimality conditions / ϵ-duality
© EDP Sciences, ROADEF, SMAI 2018
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.