Proceedings of the 2016 International Conference on Artificial Intelligence: Technologies and Applications

Existence of Solutions to Generalized Vector Quasi-equilibrium Problems with Set-Valued Mappings

Authors
Yali Zhao, Hong Lu, Chao Wang
Corresponding Author
Yali Zhao
Available Online January 2016.
DOI
https://doi.org/10.2991/icaita-16.2016.44How to use a DOI?
Keywords
generalized vector quasi-equilibrium problem; maximal element theorem; upper semicontinuity; diagonal convexity; escaping sequence
Abstract
In this paper, we introduce and study a class of generalized vector quasi-equilibrium problems, which includes generalized vector quasi-variational-like inequality problems, generalized vector equilibrium problems, generalized vector variational inequality problems as special cases. We use the maximal element theorem with an escaping sequence to prove the existence results of solutions for the class of generalized vector quasi-equilibrium problems without any monotonicity conditions in the setting of locally convex topological vector space. The results presented here improve and extend the corresponding results in this area.
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Volume Title
Proceedings of the 2016 International Conference on Artificial Intelligence: Technologies and Applications
Series
Advances in Intelligent Systems Research
Publication Date
January 2016
ISBN
978-94-6252-162-9
ISSN
1951-6851
DOI
https://doi.org/10.2991/icaita-16.2016.44How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - CONF
AU  - Yali Zhao
AU  - Hong Lu
AU  - Chao Wang
PY  - 2016/01
DA  - 2016/01
TI  - Existence of Solutions to Generalized Vector Quasi-equilibrium Problems with Set-Valued Mappings
BT  - Proceedings of the 2016 International Conference on Artificial Intelligence: Technologies and Applications
PB  - Atlantis Press
SP  - 172
EP  - 176
SN  - 1951-6851
UR  - https://doi.org/10.2991/icaita-16.2016.44
DO  - https://doi.org/10.2991/icaita-16.2016.44
ID  - Zhao2016/01
ER  -