Generalized bi-quasi-variational inequalities for quasi-pseudo-monotone type I operators on non-compact sets

In this paper, the authors prove some existence results for solutions for a new class of generalized bi-quasi-variational inequalities (GBQVI) for quasi-pseudo-monotone type I and strongly quasi-pseudo-monotone type I operators defined on non-compact sets in locally convex Hausdorff topological vector spaces. In obtaining these results on GBQVI for quasi-pseudo-monotone type I and strongly quasi-pseudo-monotone type I operators, we shall use Chowdhury and Tan’s generalized version of Ky Fan’s minimax inequality as the main tool.