TY - JOUR
T1 - Existence of Solutions to Generalized Vector Quasi-Variational-Like Inequalities with Set-Valued Mappings
AU - Gao , Dapeng
AU - Feng , Shiqiang
JO - Communications in Mathematical Research 
VL - 1
SP - 90
EP - 96
PY - 2021
DA - 2021/05
SN - 30
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cmr/18990.html
KW - generalized vector quasi-variational-like inequality, maximal element
theorem, upper semicontinuous diagonal convexity, locally convex topological vector
space.
AB - <p style="text-align: justify;">In this paper, we introduce and study a class of generalized vector quasi-variational-like inequality problems, which includes generalized nonlinear vector variational inequality problems, generalized vector variational inequality problems and
generalized vector variational-like inequality problems as special cases. We use the
maximal element theorem with an escaping sequence to prove the existence results of
a solution for generalized vector quasi-variational-like inequalities without any monotonicity conditions in the setting of locally convex topological vector space.</p>