Proceedings of the 2nd International Conference on Electronics, Network and Computer Engineering (ICENCE 2016)

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/).

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Volume Title
Proceedings of the 2nd International Conference on Electronics, Network and Computer Engineering (ICENCE 2016)
Series
Advances in Computer Science Research
Publication Date
September 2016
ISBN
10.2991/icence-16.2016.140
ISSN
2352-538X
DOI
10.2991/icence-16.2016.140How to use a DOI?
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  -