Proceedings of the 2015 International Conference on Education, Management and Computing Technology

Necessary Optimality Condition for Vector Optimization Problems in Infinite-dimensional Linear Spaces

Authors
Xuanwei Zhou
Corresponding Author
Xuanwei Zhou
Available Online June 2015.
DOI
https://doi.org/10.2991/icemct-15.2015.252How to use a DOI?
Keywords
infinite-dimensional linear space, theorem of alternative, necessary optimality condition, vector optimization problem.
Abstract

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.

Copyright
© 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/).

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Volume Title
Proceedings of the 2015 International Conference on Education, Management and Computing Technology
Series
Advances in Social Science, Education and Humanities Research
Publication Date
June 2015
ISBN
978-94-62520-82-0
ISSN
2352-5398
DOI
https://doi.org/10.2991/icemct-15.2015.252How to use a DOI?
Copyright
© 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  -