Connectedness of approximate weak efficient sets for the set-vector equilibrium problem
Authors
Yunxuan Xiong
Corresponding Author
Yunxuan Xiong
Available Online September 2016.
- DOI
- 10.2991/icence-16.2016.140How to use a DOI?
- Keywords
- Vector equilibrium problem; Approximate weak efficient; Connectedness
- Abstract
In this paper, a scalarization result of approximate weak efficient solution for a set-vector equilibrium problem (SVEP) is given. With this scalarization result, the connectedness of -weak efficient sets for the SVEP is proved under some suitable conditions in real Hausdorff topological vector spaces. The main results presented in this paper improve and generalize some known results in the literature [6,7,10].
- Copyright
- © 2016, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - CONF AU - Yunxuan Xiong PY - 2016/09 DA - 2016/09 TI - Connectedness of approximate weak efficient sets for the set-vector equilibrium problem BT - Proceedings of the 2nd International Conference on Electronics, Network and Computer Engineering (ICENCE 2016) PB - Atlantis Press SP - 751 EP - 756 SN - 2352-538X UR - https://doi.org/10.2991/icence-16.2016.140 DO - 10.2991/icence-16.2016.140 ID - Xiong2016/09 ER -