Necessary Optimality Condition for Vector Optimization Problems in Infinite-dimensional Linear Spaces
- https://doi.org/10.2991/icemct-15.2015.252How to use a DOI?
- infinite-dimensional linear space, theorem of alternative, necessary optimality condition, vector optimization problem.
In this paper, the concept of preconvexlike functions is introduced. Then, under the convexity, the vector optimization problem in Hausdorff topological vector spaces is studied. A theorem of the alternative is established. By use of the theorem of the alternative, a necessary optimality condition for vector optimization problems in infinite-dimensional linear spaces are obtained.
- © 2015, 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 - Xuanwei Zhou PY - 2015/06 DA - 2015/06 TI - Necessary Optimality Condition for Vector Optimization Problems in Infinite-dimensional Linear Spaces BT - Proceedings of the 2015 International Conference on Education, Management and Computing Technology PB - Atlantis Press SP - 1228 EP - 1233 SN - 2352-5398 UR - https://doi.org/10.2991/icemct-15.2015.252 DO - https://doi.org/10.2991/icemct-15.2015.252 ID - Zhou2015/06 ER -