@Article{CMR-30-90, author = {Gao , Dapeng and Feng , Shiqiang}, title = {Existence of Solutions to Generalized Vector Quasi-Variational-Like Inequalities with Set-Valued Mappings}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {30}, number = {1}, pages = {90--96}, abstract = {

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.

}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/18990.html} }