@Article{CMR-30-1, author = {Gao, Dapeng and Shiqiang, Feng}, title = {Existence of Solutions to Generalized Vector Quasi-Variational-Like Inequalities with Set-Valued Mappings}, journal = {Communications in Mathematical Research }, year = {2014}, 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/2014-CMR-18990}, url = {https://global-sci.com/article/81741/existence-of-solutions-to-generalized-vector-quasi-variational-like-inequalities-with-set-valued-mappings} }