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

DOI

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.

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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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  -