Existence of Solutions for η-Generalized Vector Variational-Like Inequalities
Xi Li, Jong Kyu Kim, Nan‐jing Huang · Journal of Inequalities and Applications · 2010
We introduce and study a class of -generalized vector variational-like inequalities and a class of -generalized strong vector variational-like inequalities in the setting of Hausdorff topological vector spaces. An equivalence result concerned with two classes of -generalized vector variational-like inequalities is proved under suitable conditions. By using FKKM theorem, some new existence results of solutions for the -generalized vector variational-like inequalities and -generalized strong vector variational-like inequalities are obtained under some suitable conditions.