Existence of Solutions to Generalized Vector Quasi-equilibrium Problems with Set-Valued Mappings
- 10.2991/icaita-16.2016.44How to use a DOI?
- generalized vector quasi-equilibrium problem; maximal element theorem; upper semicontinuity; diagonal convexity; escaping sequence
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.
- © 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 - 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 - 10.2991/icaita-16.2016.44 ID - Zhao2016/01 ER -